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What is the Least Common Multiple of 64959 and 64979?

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 64959 and 64979 is 4220970861.

LCM(64959,64979) = 4220970861

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Least Common Multiple of 64959 and 64979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64959 and 64979, than apply into the LCM equation.

GCF(64959,64979) = 1
LCM(64959,64979) = ( 64959 × 64979) / 1
LCM(64959,64979) = 4220970861 / 1
LCM(64959,64979) = 4220970861

Least Common Multiple (LCM) of 64959 and 64979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64959 and 64979. First we will calculate the prime factors of 64959 and 64979.

Prime Factorization of 64959

Prime factors of 64959 are 3, 59, 367. Prime factorization of 64959 in exponential form is:

64959 = 31 × 591 × 3671

Prime Factorization of 64979

Prime factors of 64979 are 181, 359. Prime factorization of 64979 in exponential form is:

64979 = 1811 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 64959 and 64979.

LCM(64959,64979) = 31 × 591 × 3671 × 1811 × 3591
LCM(64959,64979) = 4220970861