What is the Least Common Multiple of 62941 and 62957?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62941 and 62957 is 3962576537.
LCM(62941,62957) = 3962576537
Least Common Multiple of 62941 and 62957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62941 and 62957, than apply into the LCM equation.
GCF(62941,62957) = 1
LCM(62941,62957) = ( 62941 × 62957) / 1
LCM(62941,62957) = 3962576537 / 1
LCM(62941,62957) = 3962576537
Least Common Multiple (LCM) of 62941 and 62957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62941 and 62957. First we will calculate the prime factors of 62941 and 62957.
Prime Factorization of 62941
Prime factors of 62941 are 113, 557. Prime factorization of 62941 in exponential form is:
62941 = 1131 × 5571
Prime Factorization of 62957
Prime factors of 62957 are 157, 401. Prime factorization of 62957 in exponential form is:
62957 = 1571 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 62941 and 62957.
LCM(62941,62957) = 1131 × 5571 × 1571 × 4011
LCM(62941,62957) = 3962576537
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