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What is the Least Common Multiple of 62915 and 62931?

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 62915 and 62931 is 3959303865.

LCM(62915,62931) = 3959303865

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Least Common Multiple of 62915 and 62931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62915 and 62931, than apply into the LCM equation.

GCF(62915,62931) = 1
LCM(62915,62931) = ( 62915 × 62931) / 1
LCM(62915,62931) = 3959303865 / 1
LCM(62915,62931) = 3959303865

Least Common Multiple (LCM) of 62915 and 62931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62915 and 62931. First we will calculate the prime factors of 62915 and 62931.

Prime Factorization of 62915

Prime factors of 62915 are 5, 12583. Prime factorization of 62915 in exponential form is:

62915 = 51 × 125831

Prime Factorization of 62931

Prime factors of 62931 are 3, 11, 1907. Prime factorization of 62931 in exponential form is:

62931 = 31 × 111 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 62915 and 62931.

LCM(62915,62931) = 51 × 125831 × 31 × 111 × 19071
LCM(62915,62931) = 3959303865