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What is the Least Common Multiple of 62931 and 62951?

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 62951 is 3961569381.

LCM(62931,62951) = 3961569381

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Least Common Multiple of 62931 and 62951 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 62951, than apply into the LCM equation.

GCF(62931,62951) = 1
LCM(62931,62951) = ( 62931 × 62951) / 1
LCM(62931,62951) = 3961569381 / 1
LCM(62931,62951) = 3961569381

Least Common Multiple (LCM) of 62931 and 62951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62931 and 62951. First we will calculate the prime factors of 62931 and 62951.

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 62951

Prime factors of 62951 are 7, 17, 23. Prime factorization of 62951 in exponential form is:

62951 = 71 × 171 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 62931 and 62951.

LCM(62931,62951) = 31 × 111 × 19071 × 71 × 171 × 232
LCM(62931,62951) = 3961569381