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What is the Least Common Multiple of 77849 and 77864?

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 77849 and 77864 is 6061634536.

LCM(77849,77864) = 6061634536

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Least Common Multiple of 77849 and 77864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77849 and 77864, than apply into the LCM equation.

GCF(77849,77864) = 1
LCM(77849,77864) = ( 77849 × 77864) / 1
LCM(77849,77864) = 6061634536 / 1
LCM(77849,77864) = 6061634536

Least Common Multiple (LCM) of 77849 and 77864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77849 and 77864. First we will calculate the prime factors of 77849 and 77864.

Prime Factorization of 77849

Prime factors of 77849 are 77849. Prime factorization of 77849 in exponential form is:

77849 = 778491

Prime Factorization of 77864

Prime factors of 77864 are 2, 9733. Prime factorization of 77864 in exponential form is:

77864 = 23 × 97331

Now multiplying the highest exponent prime factors to calculate the LCM of 77849 and 77864.

LCM(77849,77864) = 778491 × 23 × 97331
LCM(77849,77864) = 6061634536