What is the Least Common Multiple of 37932 and 37952?
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 37932 and 37952 is 359898816.
LCM(37932,37952) = 359898816
Least Common Multiple of 37932 and 37952 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37932 and 37952, than apply into the LCM equation.
GCF(37932,37952) = 4
LCM(37932,37952) = ( 37932 × 37952) / 4
LCM(37932,37952) = 1439595264 / 4
LCM(37932,37952) = 359898816
Least Common Multiple (LCM) of 37932 and 37952 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37932 and 37952. First we will calculate the prime factors of 37932 and 37952.
Prime Factorization of 37932
Prime factors of 37932 are 2, 3, 29, 109. Prime factorization of 37932 in exponential form is:
37932 = 22 × 31 × 291 × 1091
Prime Factorization of 37952
Prime factors of 37952 are 2, 593. Prime factorization of 37952 in exponential form is:
37952 = 26 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 37932 and 37952.
LCM(37932,37952) = 26 × 31 × 291 × 1091 × 5931
LCM(37932,37952) = 359898816
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