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What is the Least Common Multiple of 7514 and 7518?

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 7514 and 7518 is 28245126.

LCM(7514,7518) = 28245126

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Least Common Multiple of 7514 and 7518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7514 and 7518, than apply into the LCM equation.

GCF(7514,7518) = 2
LCM(7514,7518) = ( 7514 × 7518) / 2
LCM(7514,7518) = 56490252 / 2
LCM(7514,7518) = 28245126

Least Common Multiple (LCM) of 7514 and 7518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7514 and 7518. First we will calculate the prime factors of 7514 and 7518.

Prime Factorization of 7514

Prime factors of 7514 are 2, 13, 17. Prime factorization of 7514 in exponential form is:

7514 = 21 × 131 × 172

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7514 and 7518.

LCM(7514,7518) = 21 × 131 × 172 × 31 × 71 × 1791
LCM(7514,7518) = 28245126