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What is the Least Common Multiple of 4659 and 4679?

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 4659 and 4679 is 21799461.

LCM(4659,4679) = 21799461

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Least Common Multiple of 4659 and 4679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4659 and 4679, than apply into the LCM equation.

GCF(4659,4679) = 1
LCM(4659,4679) = ( 4659 × 4679) / 1
LCM(4659,4679) = 21799461 / 1
LCM(4659,4679) = 21799461

Least Common Multiple (LCM) of 4659 and 4679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4679. First we will calculate the prime factors of 4659 and 4679.

Prime Factorization of 4659

Prime factors of 4659 are 3, 1553. Prime factorization of 4659 in exponential form is:

4659 = 31 × 15531

Prime Factorization of 4679

Prime factors of 4679 are 4679. Prime factorization of 4679 in exponential form is:

4679 = 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4679.

LCM(4659,4679) = 31 × 15531 × 46791
LCM(4659,4679) = 21799461