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What is the Least Common Multiple of 64978 and 64983?

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 64978 and 64983 is 4222465374.

LCM(64978,64983) = 4222465374

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Least Common Multiple of 64978 and 64983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64978 and 64983, than apply into the LCM equation.

GCF(64978,64983) = 1
LCM(64978,64983) = ( 64978 × 64983) / 1
LCM(64978,64983) = 4222465374 / 1
LCM(64978,64983) = 4222465374

Least Common Multiple (LCM) of 64978 and 64983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64978 and 64983. First we will calculate the prime factors of 64978 and 64983.

Prime Factorization of 64978

Prime factors of 64978 are 2, 53, 613. Prime factorization of 64978 in exponential form is:

64978 = 21 × 531 × 6131

Prime Factorization of 64983

Prime factors of 64983 are 3, 21661. Prime factorization of 64983 in exponential form is:

64983 = 31 × 216611

Now multiplying the highest exponent prime factors to calculate the LCM of 64978 and 64983.

LCM(64978,64983) = 21 × 531 × 6131 × 31 × 216611
LCM(64978,64983) = 4222465374