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What is the Least Common Multiple of 77636 and 77647?

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 77636 and 77647 is 6028202492.

LCM(77636,77647) = 6028202492

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Least Common Multiple of 77636 and 77647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77636 and 77647, than apply into the LCM equation.

GCF(77636,77647) = 1
LCM(77636,77647) = ( 77636 × 77647) / 1
LCM(77636,77647) = 6028202492 / 1
LCM(77636,77647) = 6028202492

Least Common Multiple (LCM) of 77636 and 77647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77636 and 77647. First we will calculate the prime factors of 77636 and 77647.

Prime Factorization of 77636

Prime factors of 77636 are 2, 13, 1493. Prime factorization of 77636 in exponential form is:

77636 = 22 × 131 × 14931

Prime Factorization of 77647

Prime factors of 77647 are 77647. Prime factorization of 77647 in exponential form is:

77647 = 776471

Now multiplying the highest exponent prime factors to calculate the LCM of 77636 and 77647.

LCM(77636,77647) = 22 × 131 × 14931 × 776471
LCM(77636,77647) = 6028202492