What is the Least Common Multiple of 3932 and 3937?
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 3932 and 3937 is 15480284.
LCM(3932,3937) = 15480284
Least Common Multiple of 3932 and 3937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3932 and 3937, than apply into the LCM equation.
GCF(3932,3937) = 1
LCM(3932,3937) = ( 3932 × 3937) / 1
LCM(3932,3937) = 15480284 / 1
LCM(3932,3937) = 15480284
Least Common Multiple (LCM) of 3932 and 3937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3932 and 3937. First we will calculate the prime factors of 3932 and 3937.
Prime Factorization of 3932
Prime factors of 3932 are 2, 983. Prime factorization of 3932 in exponential form is:
3932 = 22 × 9831
Prime Factorization of 3937
Prime factors of 3937 are 31, 127. Prime factorization of 3937 in exponential form is:
3937 = 311 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 3932 and 3937.
LCM(3932,3937) = 22 × 9831 × 311 × 1271
LCM(3932,3937) = 15480284
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