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What is the Least Common Multiple of 77364 and 77370?

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 77370 is 997608780.

LCM(77364,77370) = 997608780

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Least Common Multiple of 77364 and 77370 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 77370, than apply into the LCM equation.

GCF(77364,77370) = 6
LCM(77364,77370) = ( 77364 × 77370) / 6
LCM(77364,77370) = 5985652680 / 6
LCM(77364,77370) = 997608780

Least Common Multiple (LCM) of 77364 and 77370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77364 and 77370. First we will calculate the prime factors of 77364 and 77370.

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 77370

Prime factors of 77370 are 2, 3, 5, 2579. Prime factorization of 77370 in exponential form is:

77370 = 21 × 31 × 51 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 77364 and 77370.

LCM(77364,77370) = 22 × 32 × 71 × 3071 × 51 × 25791
LCM(77364,77370) = 997608780