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What is the Least Common Multiple of 62687 and 62702?

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 62687 and 62702 is 3930600274.

LCM(62687,62702) = 3930600274

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Least Common Multiple of 62687 and 62702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62687 and 62702, than apply into the LCM equation.

GCF(62687,62702) = 1
LCM(62687,62702) = ( 62687 × 62702) / 1
LCM(62687,62702) = 3930600274 / 1
LCM(62687,62702) = 3930600274

Least Common Multiple (LCM) of 62687 and 62702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62687 and 62702. First we will calculate the prime factors of 62687 and 62702.

Prime Factorization of 62687

Prime factors of 62687 are 62687. Prime factorization of 62687 in exponential form is:

62687 = 626871

Prime Factorization of 62702

Prime factors of 62702 are 2, 107, 293. Prime factorization of 62702 in exponential form is:

62702 = 21 × 1071 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 62687 and 62702.

LCM(62687,62702) = 626871 × 21 × 1071 × 2931
LCM(62687,62702) = 3930600274