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What is the Least Common Multiple of 64980 and 64994?

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 64980 and 64994 is 2111655060.

LCM(64980,64994) = 2111655060

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Least Common Multiple of 64980 and 64994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64980 and 64994, than apply into the LCM equation.

GCF(64980,64994) = 2
LCM(64980,64994) = ( 64980 × 64994) / 2
LCM(64980,64994) = 4223310120 / 2
LCM(64980,64994) = 2111655060

Least Common Multiple (LCM) of 64980 and 64994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64980 and 64994. First we will calculate the prime factors of 64980 and 64994.

Prime Factorization of 64980

Prime factors of 64980 are 2, 3, 5, 19. Prime factorization of 64980 in exponential form is:

64980 = 22 × 32 × 51 × 192

Prime Factorization of 64994

Prime factors of 64994 are 2, 32497. Prime factorization of 64994 in exponential form is:

64994 = 21 × 324971

Now multiplying the highest exponent prime factors to calculate the LCM of 64980 and 64994.

LCM(64980,64994) = 22 × 32 × 51 × 192 × 324971
LCM(64980,64994) = 2111655060