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What is the Least Common Multiple of 64679 and 64698?

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 64679 and 64698 is 4184601942.

LCM(64679,64698) = 4184601942

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Least Common Multiple of 64679 and 64698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64679 and 64698, than apply into the LCM equation.

GCF(64679,64698) = 1
LCM(64679,64698) = ( 64679 × 64698) / 1
LCM(64679,64698) = 4184601942 / 1
LCM(64679,64698) = 4184601942

Least Common Multiple (LCM) of 64679 and 64698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64679 and 64698. First we will calculate the prime factors of 64679 and 64698.

Prime Factorization of 64679

Prime factors of 64679 are 64679. Prime factorization of 64679 in exponential form is:

64679 = 646791

Prime Factorization of 64698

Prime factors of 64698 are 2, 3, 41, 263. Prime factorization of 64698 in exponential form is:

64698 = 21 × 31 × 411 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 64679 and 64698.

LCM(64679,64698) = 646791 × 21 × 31 × 411 × 2631
LCM(64679,64698) = 4184601942