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What is the Least Common Multiple of 9514 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 9514 and 9528 is 45324696.

LCM(9514,9528) = 45324696

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Least Common Multiple of 9514 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 9514 and 9528, than apply into the LCM equation.

GCF(9514,9528) = 2
LCM(9514,9528) = ( 9514 × 9528) / 2
LCM(9514,9528) = 90649392 / 2
LCM(9514,9528) = 45324696

Least Common Multiple (LCM) of 9514 and 9528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9514 and 9528. First we will calculate the prime factors of 9514 and 9528.

Prime Factorization of 9514

Prime factors of 9514 are 2, 67, 71. Prime factorization of 9514 in exponential form is:

9514 = 21 × 671 × 711

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 9514 and 9528.

LCM(9514,9528) = 23 × 671 × 711 × 31 × 3971
LCM(9514,9528) = 45324696