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What is the Least Common Multiple of 77639 and 77646?

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 77639 and 77646 is 6028357794.

LCM(77639,77646) = 6028357794

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Least Common Multiple of 77639 and 77646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77639 and 77646, than apply into the LCM equation.

GCF(77639,77646) = 1
LCM(77639,77646) = ( 77639 × 77646) / 1
LCM(77639,77646) = 6028357794 / 1
LCM(77639,77646) = 6028357794

Least Common Multiple (LCM) of 77639 and 77646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77639 and 77646. First we will calculate the prime factors of 77639 and 77646.

Prime Factorization of 77639

Prime factors of 77639 are 17, 4567. Prime factorization of 77639 in exponential form is:

77639 = 171 × 45671

Prime Factorization of 77646

Prime factors of 77646 are 2, 3, 12941. Prime factorization of 77646 in exponential form is:

77646 = 21 × 31 × 129411

Now multiplying the highest exponent prime factors to calculate the LCM of 77639 and 77646.

LCM(77639,77646) = 171 × 45671 × 21 × 31 × 129411
LCM(77639,77646) = 6028357794