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What is the Least Common Multiple of 4653 and 4665?

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 4653 and 4665 is 7235415.

LCM(4653,4665) = 7235415

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Least Common Multiple of 4653 and 4665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4653 and 4665, than apply into the LCM equation.

GCF(4653,4665) = 3
LCM(4653,4665) = ( 4653 × 4665) / 3
LCM(4653,4665) = 21706245 / 3
LCM(4653,4665) = 7235415

Least Common Multiple (LCM) of 4653 and 4665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4665. First we will calculate the prime factors of 4653 and 4665.

Prime Factorization of 4653

Prime factors of 4653 are 3, 11, 47. Prime factorization of 4653 in exponential form is:

4653 = 32 × 111 × 471

Prime Factorization of 4665

Prime factors of 4665 are 3, 5, 311. Prime factorization of 4665 in exponential form is:

4665 = 31 × 51 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4665.

LCM(4653,4665) = 32 × 111 × 471 × 51 × 3111
LCM(4653,4665) = 7235415