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What is the Least Common Multiple of 4680 and 4687?

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 4680 and 4687 is 21935160.

LCM(4680,4687) = 21935160

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Least Common Multiple of 4680 and 4687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4680 and 4687, than apply into the LCM equation.

GCF(4680,4687) = 1
LCM(4680,4687) = ( 4680 × 4687) / 1
LCM(4680,4687) = 21935160 / 1
LCM(4680,4687) = 21935160

Least Common Multiple (LCM) of 4680 and 4687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4687. First we will calculate the prime factors of 4680 and 4687.

Prime Factorization of 4680

Prime factors of 4680 are 2, 3, 5, 13. Prime factorization of 4680 in exponential form is:

4680 = 23 × 32 × 51 × 131

Prime Factorization of 4687

Prime factors of 4687 are 43, 109. Prime factorization of 4687 in exponential form is:

4687 = 431 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4687.

LCM(4680,4687) = 23 × 32 × 51 × 131 × 431 × 1091
LCM(4680,4687) = 21935160