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What is the Least Common Multiple of 4653 and 4671?

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 4671 is 2414907.

LCM(4653,4671) = 2414907

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Least Common Multiple of 4653 and 4671 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 4671, than apply into the LCM equation.

GCF(4653,4671) = 9
LCM(4653,4671) = ( 4653 × 4671) / 9
LCM(4653,4671) = 21734163 / 9
LCM(4653,4671) = 2414907

Least Common Multiple (LCM) of 4653 and 4671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4671. First we will calculate the prime factors of 4653 and 4671.

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 4671

Prime factors of 4671 are 3, 173. Prime factorization of 4671 in exponential form is:

4671 = 33 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4671.

LCM(4653,4671) = 33 × 111 × 471 × 1731
LCM(4653,4671) = 2414907