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What is the Least Common Multiple of 62747 and 62754?

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 62747 and 62754 is 3937625238.

LCM(62747,62754) = 3937625238

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Least Common Multiple of 62747 and 62754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62747 and 62754, than apply into the LCM equation.

GCF(62747,62754) = 1
LCM(62747,62754) = ( 62747 × 62754) / 1
LCM(62747,62754) = 3937625238 / 1
LCM(62747,62754) = 3937625238

Least Common Multiple (LCM) of 62747 and 62754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62747 and 62754. First we will calculate the prime factors of 62747 and 62754.

Prime Factorization of 62747

Prime factors of 62747 are 17, 3691. Prime factorization of 62747 in exponential form is:

62747 = 171 × 36911

Prime Factorization of 62754

Prime factors of 62754 are 2, 3, 10459. Prime factorization of 62754 in exponential form is:

62754 = 21 × 31 × 104591

Now multiplying the highest exponent prime factors to calculate the LCM of 62747 and 62754.

LCM(62747,62754) = 171 × 36911 × 21 × 31 × 104591
LCM(62747,62754) = 3937625238