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What is the Least Common Multiple of 4642 and 4659?

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 4642 and 4659 is 21627078.

LCM(4642,4659) = 21627078

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Least Common Multiple of 4642 and 4659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4659, than apply into the LCM equation.

GCF(4642,4659) = 1
LCM(4642,4659) = ( 4642 × 4659) / 1
LCM(4642,4659) = 21627078 / 1
LCM(4642,4659) = 21627078

Least Common Multiple (LCM) of 4642 and 4659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4659. First we will calculate the prime factors of 4642 and 4659.

Prime Factorization of 4642

Prime factors of 4642 are 2, 11, 211. Prime factorization of 4642 in exponential form is:

4642 = 21 × 111 × 2111

Prime Factorization of 4659

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

4659 = 31 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4659.

LCM(4642,4659) = 21 × 111 × 2111 × 31 × 15531
LCM(4642,4659) = 21627078