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What is the Least Common Multiple of 77797 and 77806?

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 77797 and 77806 is 6053073382.

LCM(77797,77806) = 6053073382

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Least Common Multiple of 77797 and 77806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77797 and 77806, than apply into the LCM equation.

GCF(77797,77806) = 1
LCM(77797,77806) = ( 77797 × 77806) / 1
LCM(77797,77806) = 6053073382 / 1
LCM(77797,77806) = 6053073382

Least Common Multiple (LCM) of 77797 and 77806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77797 and 77806. First we will calculate the prime factors of 77797 and 77806.

Prime Factorization of 77797

Prime factors of 77797 are 77797. Prime factorization of 77797 in exponential form is:

77797 = 777971

Prime Factorization of 77806

Prime factors of 77806 are 2, 38903. Prime factorization of 77806 in exponential form is:

77806 = 21 × 389031

Now multiplying the highest exponent prime factors to calculate the LCM of 77797 and 77806.

LCM(77797,77806) = 777971 × 21 × 389031
LCM(77797,77806) = 6053073382