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What is the Least Common Multiple of 17124 and 17140?

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 17124 and 17140 is 73376340.

LCM(17124,17140) = 73376340

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Least Common Multiple of 17124 and 17140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17124 and 17140, than apply into the LCM equation.

GCF(17124,17140) = 4
LCM(17124,17140) = ( 17124 × 17140) / 4
LCM(17124,17140) = 293505360 / 4
LCM(17124,17140) = 73376340

Least Common Multiple (LCM) of 17124 and 17140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17124 and 17140. First we will calculate the prime factors of 17124 and 17140.

Prime Factorization of 17124

Prime factors of 17124 are 2, 3, 1427. Prime factorization of 17124 in exponential form is:

17124 = 22 × 31 × 14271

Prime Factorization of 17140

Prime factors of 17140 are 2, 5, 857. Prime factorization of 17140 in exponential form is:

17140 = 22 × 51 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 17124 and 17140.

LCM(17124,17140) = 22 × 31 × 14271 × 51 × 8571
LCM(17124,17140) = 73376340