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What is the Least Common Multiple of 62687 and 62692?

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 62692 is 3929973404.

LCM(62687,62692) = 3929973404

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Least Common Multiple of 62687 and 62692 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 62692, than apply into the LCM equation.

GCF(62687,62692) = 1
LCM(62687,62692) = ( 62687 × 62692) / 1
LCM(62687,62692) = 3929973404 / 1
LCM(62687,62692) = 3929973404

Least Common Multiple (LCM) of 62687 and 62692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62687 and 62692. First we will calculate the prime factors of 62687 and 62692.

Prime Factorization of 62687

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

62687 = 626871

Prime Factorization of 62692

Prime factors of 62692 are 2, 7, 2239. Prime factorization of 62692 in exponential form is:

62692 = 22 × 71 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 62687 and 62692.

LCM(62687,62692) = 626871 × 22 × 71 × 22391
LCM(62687,62692) = 3929973404