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What is the Least Common Multiple of 62677 and 62686?

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 62677 and 62686 is 3928970422.

LCM(62677,62686) = 3928970422

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Least Common Multiple of 62677 and 62686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62677 and 62686, than apply into the LCM equation.

GCF(62677,62686) = 1
LCM(62677,62686) = ( 62677 × 62686) / 1
LCM(62677,62686) = 3928970422 / 1
LCM(62677,62686) = 3928970422

Least Common Multiple (LCM) of 62677 and 62686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62677 and 62686. First we will calculate the prime factors of 62677 and 62686.

Prime Factorization of 62677

Prime factors of 62677 are 233, 269. Prime factorization of 62677 in exponential form is:

62677 = 2331 × 2691

Prime Factorization of 62686

Prime factors of 62686 are 2, 13, 2411. Prime factorization of 62686 in exponential form is:

62686 = 21 × 131 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 62677 and 62686.

LCM(62677,62686) = 2331 × 2691 × 21 × 131 × 24111
LCM(62677,62686) = 3928970422