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What is the Least Common Multiple of 4660 and 4675?

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 4660 and 4675 is 4357100.

LCM(4660,4675) = 4357100

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Least Common Multiple of 4660 and 4675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4660 and 4675, than apply into the LCM equation.

GCF(4660,4675) = 5
LCM(4660,4675) = ( 4660 × 4675) / 5
LCM(4660,4675) = 21785500 / 5
LCM(4660,4675) = 4357100

Least Common Multiple (LCM) of 4660 and 4675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4660 and 4675. First we will calculate the prime factors of 4660 and 4675.

Prime Factorization of 4660

Prime factors of 4660 are 2, 5, 233. Prime factorization of 4660 in exponential form is:

4660 = 22 × 51 × 2331

Prime Factorization of 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 52 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4660 and 4675.

LCM(4660,4675) = 22 × 52 × 2331 × 111 × 171
LCM(4660,4675) = 4357100