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What is the Least Common Multiple of 7518 and 7531?

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 7518 and 7531 is 56618058.

LCM(7518,7531) = 56618058

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Least Common Multiple of 7518 and 7531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7518 and 7531, than apply into the LCM equation.

GCF(7518,7531) = 1
LCM(7518,7531) = ( 7518 × 7531) / 1
LCM(7518,7531) = 56618058 / 1
LCM(7518,7531) = 56618058

Least Common Multiple (LCM) of 7518 and 7531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7518 and 7531. First we will calculate the prime factors of 7518 and 7531.

Prime Factorization of 7518

Prime factors of 7518 are 2, 3, 7, 179. Prime factorization of 7518 in exponential form is:

7518 = 21 × 31 × 71 × 1791

Prime Factorization of 7531

Prime factors of 7531 are 17, 443. Prime factorization of 7531 in exponential form is:

7531 = 171 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 7518 and 7531.

LCM(7518,7531) = 21 × 31 × 71 × 1791 × 171 × 4431
LCM(7518,7531) = 56618058