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What is the Least Common Multiple of 62932 and 62939?

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 62932 and 62939 is 3960877148.

LCM(62932,62939) = 3960877148

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Least Common Multiple of 62932 and 62939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62932 and 62939, than apply into the LCM equation.

GCF(62932,62939) = 1
LCM(62932,62939) = ( 62932 × 62939) / 1
LCM(62932,62939) = 3960877148 / 1
LCM(62932,62939) = 3960877148

Least Common Multiple (LCM) of 62932 and 62939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62932 and 62939. First we will calculate the prime factors of 62932 and 62939.

Prime Factorization of 62932

Prime factors of 62932 are 2, 15733. Prime factorization of 62932 in exponential form is:

62932 = 22 × 157331

Prime Factorization of 62939

Prime factors of 62939 are 62939. Prime factorization of 62939 in exponential form is:

62939 = 629391

Now multiplying the highest exponent prime factors to calculate the LCM of 62932 and 62939.

LCM(62932,62939) = 22 × 157331 × 629391
LCM(62932,62939) = 3960877148