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What is the Least Common Multiple of 62706 and 62726?

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 62706 and 62726 is 1966648278.

LCM(62706,62726) = 1966648278

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Least Common Multiple of 62706 and 62726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62706 and 62726, than apply into the LCM equation.

GCF(62706,62726) = 2
LCM(62706,62726) = ( 62706 × 62726) / 2
LCM(62706,62726) = 3933296556 / 2
LCM(62706,62726) = 1966648278

Least Common Multiple (LCM) of 62706 and 62726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62706 and 62726. First we will calculate the prime factors of 62706 and 62726.

Prime Factorization of 62706

Prime factors of 62706 are 2, 3, 7, 1493. Prime factorization of 62706 in exponential form is:

62706 = 21 × 31 × 71 × 14931

Prime Factorization of 62726

Prime factors of 62726 are 2, 79, 397. Prime factorization of 62726 in exponential form is:

62726 = 21 × 791 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 62706 and 62726.

LCM(62706,62726) = 21 × 31 × 71 × 14931 × 791 × 3971
LCM(62706,62726) = 1966648278