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What is the Least Common Multiple of 9532 and 9552?

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 9532 and 9552 is 22762416.

LCM(9532,9552) = 22762416

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Least Common Multiple of 9532 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9532 and 9552, than apply into the LCM equation.

GCF(9532,9552) = 4
LCM(9532,9552) = ( 9532 × 9552) / 4
LCM(9532,9552) = 91049664 / 4
LCM(9532,9552) = 22762416

Least Common Multiple (LCM) of 9532 and 9552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9552. First we will calculate the prime factors of 9532 and 9552.

Prime Factorization of 9532

Prime factors of 9532 are 2, 2383. Prime factorization of 9532 in exponential form is:

9532 = 22 × 23831

Prime Factorization of 9552

Prime factors of 9552 are 2, 3, 199. Prime factorization of 9552 in exponential form is:

9552 = 24 × 31 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9552.

LCM(9532,9552) = 24 × 23831 × 31 × 1991
LCM(9532,9552) = 22762416