The least common multiple (LCM) of two numbers is found by first finding the prime factorization of each number, and then taking the highest power of each prime factor present in either number.
Prime factorization of 2957 = 2 3^2 5 7
Prime factorization of 6257 = 2 3 5^2 * 7
Now, taking the highest power of each prime factor:
The highest power of 2 is 2.The highest power of 3 is 2.The highest power of 5 is 2.The highest power of 7 is 1.
Therefore, the least common multiple (LCM) of 2957 and 625*7 is:
The least common multiple (LCM) of two numbers is found by first finding the prime factorization of each number, and then taking the highest power of each prime factor present in either number.
Prime factorization of 2957 = 2 3^2 5 7
Prime factorization of 6257 = 2 3 5^2 * 7
Now, taking the highest power of each prime factor:
The highest power of 2 is 2.The highest power of 3 is 2.The highest power of 5 is 2.The highest power of 7 is 1.Therefore, the least common multiple (LCM) of 2957 and 625*7 is:
LCM(2957, 6257) = 2^1 3^2 5^2 7^1 = 2925*7 = 3150.
Therefore, НОК( f,t ) = 3150.