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What is the Least Common Multiple of 66679 and 66688?

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 66679 and 66688 is 4446689152.

LCM(66679,66688) = 4446689152

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Least Common Multiple of 66679 and 66688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66679 and 66688, than apply into the LCM equation.

GCF(66679,66688) = 1
LCM(66679,66688) = ( 66679 × 66688) / 1
LCM(66679,66688) = 4446689152 / 1
LCM(66679,66688) = 4446689152

Least Common Multiple (LCM) of 66679 and 66688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66679 and 66688. First we will calculate the prime factors of 66679 and 66688.

Prime Factorization of 66679

Prime factors of 66679 are 131, 509. Prime factorization of 66679 in exponential form is:

66679 = 1311 × 5091

Prime Factorization of 66688

Prime factors of 66688 are 2, 521. Prime factorization of 66688 in exponential form is:

66688 = 27 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 66679 and 66688.

LCM(66679,66688) = 1311 × 5091 × 27 × 5211
LCM(66679,66688) = 4446689152