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What is the Least Common Multiple of 77346 and 77364?

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 77346 and 77364 is 332433108.

LCM(77346,77364) = 332433108

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Least Common Multiple of 77346 and 77364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77346 and 77364, than apply into the LCM equation.

GCF(77346,77364) = 18
LCM(77346,77364) = ( 77346 × 77364) / 18
LCM(77346,77364) = 5983795944 / 18
LCM(77346,77364) = 332433108

Least Common Multiple (LCM) of 77346 and 77364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77346 and 77364. First we will calculate the prime factors of 77346 and 77364.

Prime Factorization of 77346

Prime factors of 77346 are 2, 3, 4297. Prime factorization of 77346 in exponential form is:

77346 = 21 × 32 × 42971

Prime Factorization of 77364

Prime factors of 77364 are 2, 3, 7, 307. Prime factorization of 77364 in exponential form is:

77364 = 22 × 32 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 77346 and 77364.

LCM(77346,77364) = 22 × 32 × 42971 × 71 × 3071
LCM(77346,77364) = 332433108