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What is the Least Common Multiple of 77264 and 77279?

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 77264 and 77279 is 5970884656.

LCM(77264,77279) = 5970884656

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Least Common Multiple of 77264 and 77279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77264 and 77279, than apply into the LCM equation.

GCF(77264,77279) = 1
LCM(77264,77279) = ( 77264 × 77279) / 1
LCM(77264,77279) = 5970884656 / 1
LCM(77264,77279) = 5970884656

Least Common Multiple (LCM) of 77264 and 77279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77264 and 77279. First we will calculate the prime factors of 77264 and 77279.

Prime Factorization of 77264

Prime factors of 77264 are 2, 11, 439. Prime factorization of 77264 in exponential form is:

77264 = 24 × 111 × 4391

Prime Factorization of 77279

Prime factors of 77279 are 77279. Prime factorization of 77279 in exponential form is:

77279 = 772791

Now multiplying the highest exponent prime factors to calculate the LCM of 77264 and 77279.

LCM(77264,77279) = 24 × 111 × 4391 × 772791
LCM(77264,77279) = 5970884656