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What is the Least Common Multiple of 3915 and 3932?

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 3915 and 3932 is 15393780.

LCM(3915,3932) = 15393780

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Least Common Multiple of 3915 and 3932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3915 and 3932, than apply into the LCM equation.

GCF(3915,3932) = 1
LCM(3915,3932) = ( 3915 × 3932) / 1
LCM(3915,3932) = 15393780 / 1
LCM(3915,3932) = 15393780

Least Common Multiple (LCM) of 3915 and 3932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3915 and 3932. First we will calculate the prime factors of 3915 and 3932.

Prime Factorization of 3915

Prime factors of 3915 are 3, 5, 29. Prime factorization of 3915 in exponential form is:

3915 = 33 × 51 × 291

Prime Factorization of 3932

Prime factors of 3932 are 2, 983. Prime factorization of 3932 in exponential form is:

3932 = 22 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 3915 and 3932.

LCM(3915,3932) = 33 × 51 × 291 × 22 × 9831
LCM(3915,3932) = 15393780