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What is the Least Common Multiple of 18720 and 18724?

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 18720 and 18724 is 87628320.

LCM(18720,18724) = 87628320

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Least Common Multiple of 18720 and 18724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18720 and 18724, than apply into the LCM equation.

GCF(18720,18724) = 4
LCM(18720,18724) = ( 18720 × 18724) / 4
LCM(18720,18724) = 350513280 / 4
LCM(18720,18724) = 87628320

Least Common Multiple (LCM) of 18720 and 18724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18720 and 18724. First we will calculate the prime factors of 18720 and 18724.

Prime Factorization of 18720

Prime factors of 18720 are 2, 3, 5, 13. Prime factorization of 18720 in exponential form is:

18720 = 25 × 32 × 51 × 131

Prime Factorization of 18724

Prime factors of 18724 are 2, 31, 151. Prime factorization of 18724 in exponential form is:

18724 = 22 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 18720 and 18724.

LCM(18720,18724) = 25 × 32 × 51 × 131 × 311 × 1511
LCM(18720,18724) = 87628320