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What is the Least Common Multiple of 4659 and 4673?

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 4673 is 21771507.

LCM(4659,4673) = 21771507

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Least Common Multiple of 4659 and 4673 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 4673, than apply into the LCM equation.

GCF(4659,4673) = 1
LCM(4659,4673) = ( 4659 × 4673) / 1
LCM(4659,4673) = 21771507 / 1
LCM(4659,4673) = 21771507

Least Common Multiple (LCM) of 4659 and 4673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4673. First we will calculate the prime factors of 4659 and 4673.

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 4673

Prime factors of 4673 are 4673. Prime factorization of 4673 in exponential form is:

4673 = 46731

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4673.

LCM(4659,4673) = 31 × 15531 × 46731
LCM(4659,4673) = 21771507