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What is the Least Common Multiple of 7518 and 7532?

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 7532 is 4044684.

LCM(7518,7532) = 4044684

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Least Common Multiple of 7518 and 7532 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 7532, than apply into the LCM equation.

GCF(7518,7532) = 14
LCM(7518,7532) = ( 7518 × 7532) / 14
LCM(7518,7532) = 56625576 / 14
LCM(7518,7532) = 4044684

Least Common Multiple (LCM) of 7518 and 7532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7518 and 7532. First we will calculate the prime factors of 7518 and 7532.

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 7532

Prime factors of 7532 are 2, 7, 269. Prime factorization of 7532 in exponential form is:

7532 = 22 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 7518 and 7532.

LCM(7518,7532) = 22 × 31 × 71 × 1791 × 2691
LCM(7518,7532) = 4044684