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What is the Least Common Multiple of 9528 and 9535?

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 9528 and 9535 is 90849480.

LCM(9528,9535) = 90849480

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Least Common Multiple of 9528 and 9535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9528 and 9535, than apply into the LCM equation.

GCF(9528,9535) = 1
LCM(9528,9535) = ( 9528 × 9535) / 1
LCM(9528,9535) = 90849480 / 1
LCM(9528,9535) = 90849480

Least Common Multiple (LCM) of 9528 and 9535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9535. First we will calculate the prime factors of 9528 and 9535.

Prime Factorization of 9528

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

9528 = 23 × 31 × 3971

Prime Factorization of 9535

Prime factors of 9535 are 5, 1907. Prime factorization of 9535 in exponential form is:

9535 = 51 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9535.

LCM(9528,9535) = 23 × 31 × 3971 × 51 × 19071
LCM(9528,9535) = 90849480