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What is the Least Common Multiple of 9518 and 9528?

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 9518 and 9528 is 45343752.

LCM(9518,9528) = 45343752

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Least Common Multiple of 9518 and 9528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9518 and 9528, than apply into the LCM equation.

GCF(9518,9528) = 2
LCM(9518,9528) = ( 9518 × 9528) / 2
LCM(9518,9528) = 90687504 / 2
LCM(9518,9528) = 45343752

Least Common Multiple (LCM) of 9518 and 9528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9518 and 9528. First we will calculate the prime factors of 9518 and 9528.

Prime Factorization of 9518

Prime factors of 9518 are 2, 4759. Prime factorization of 9518 in exponential form is:

9518 = 21 × 47591

Prime Factorization of 9528

Prime factors of 9528 are 2, 3, 397. Prime factorization of 9528 in exponential form is:

9528 = 23 × 31 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 9518 and 9528.

LCM(9518,9528) = 23 × 47591 × 31 × 3971
LCM(9518,9528) = 45343752