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What is the Least Common Multiple of 66659 and 66679?

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 66659 and 66679 is 4444755461.

LCM(66659,66679) = 4444755461

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Least Common Multiple of 66659 and 66679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66659 and 66679, than apply into the LCM equation.

GCF(66659,66679) = 1
LCM(66659,66679) = ( 66659 × 66679) / 1
LCM(66659,66679) = 4444755461 / 1
LCM(66659,66679) = 4444755461

Least Common Multiple (LCM) of 66659 and 66679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66659 and 66679. First we will calculate the prime factors of 66659 and 66679.

Prime Factorization of 66659

Prime factors of 66659 are 191, 349. Prime factorization of 66659 in exponential form is:

66659 = 1911 × 3491

Prime Factorization of 66679

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

66679 = 1311 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 66659 and 66679.

LCM(66659,66679) = 1911 × 3491 × 1311 × 5091
LCM(66659,66679) = 4444755461