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What is the Least Common Multiple of 4658 and 4672?

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 4658 and 4672 is 10881088.

LCM(4658,4672) = 10881088

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Least Common Multiple of 4658 and 4672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4658 and 4672, than apply into the LCM equation.

GCF(4658,4672) = 2
LCM(4658,4672) = ( 4658 × 4672) / 2
LCM(4658,4672) = 21762176 / 2
LCM(4658,4672) = 10881088

Least Common Multiple (LCM) of 4658 and 4672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4658 and 4672. First we will calculate the prime factors of 4658 and 4672.

Prime Factorization of 4658

Prime factors of 4658 are 2, 17, 137. Prime factorization of 4658 in exponential form is:

4658 = 21 × 171 × 1371

Prime Factorization of 4672

Prime factors of 4672 are 2, 73. Prime factorization of 4672 in exponential form is:

4672 = 26 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4658 and 4672.

LCM(4658,4672) = 26 × 171 × 1371 × 731
LCM(4658,4672) = 10881088