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What is the Least Common Multiple of 77364 and 77382?

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 77364 and 77382 is 332587836.

LCM(77364,77382) = 332587836

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Least Common Multiple of 77364 and 77382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77364 and 77382, than apply into the LCM equation.

GCF(77364,77382) = 18
LCM(77364,77382) = ( 77364 × 77382) / 18
LCM(77364,77382) = 5986581048 / 18
LCM(77364,77382) = 332587836

Least Common Multiple (LCM) of 77364 and 77382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77364 and 77382. First we will calculate the prime factors of 77364 and 77382.

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

Prime Factorization of 77382

Prime factors of 77382 are 2, 3, 1433. Prime factorization of 77382 in exponential form is:

77382 = 21 × 33 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 77364 and 77382.

LCM(77364,77382) = 22 × 33 × 71 × 3071 × 14331
LCM(77364,77382) = 332587836