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What is the Least Common Multiple of 18510 and 18516?

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 18510 and 18516 is 57121860.

LCM(18510,18516) = 57121860

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Least Common Multiple of 18510 and 18516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18510 and 18516, than apply into the LCM equation.

GCF(18510,18516) = 6
LCM(18510,18516) = ( 18510 × 18516) / 6
LCM(18510,18516) = 342731160 / 6
LCM(18510,18516) = 57121860

Least Common Multiple (LCM) of 18510 and 18516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18510 and 18516. First we will calculate the prime factors of 18510 and 18516.

Prime Factorization of 18510

Prime factors of 18510 are 2, 3, 5, 617. Prime factorization of 18510 in exponential form is:

18510 = 21 × 31 × 51 × 6171

Prime Factorization of 18516

Prime factors of 18516 are 2, 3, 1543. Prime factorization of 18516 in exponential form is:

18516 = 22 × 31 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 18510 and 18516.

LCM(18510,18516) = 22 × 31 × 51 × 6171 × 15431
LCM(18510,18516) = 57121860