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What is the Least Common Multiple of 62931 and 62948?

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 62931 and 62948 is 3961380588.

LCM(62931,62948) = 3961380588

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Least Common Multiple of 62931 and 62948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62931 and 62948, than apply into the LCM equation.

GCF(62931,62948) = 1
LCM(62931,62948) = ( 62931 × 62948) / 1
LCM(62931,62948) = 3961380588 / 1
LCM(62931,62948) = 3961380588

Least Common Multiple (LCM) of 62931 and 62948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62931 and 62948. First we will calculate the prime factors of 62931 and 62948.

Prime Factorization of 62931

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

62931 = 31 × 111 × 19071

Prime Factorization of 62948

Prime factors of 62948 are 2, 15737. Prime factorization of 62948 in exponential form is:

62948 = 22 × 157371

Now multiplying the highest exponent prime factors to calculate the LCM of 62931 and 62948.

LCM(62931,62948) = 31 × 111 × 19071 × 22 × 157371
LCM(62931,62948) = 3961380588