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What is the Least Common Multiple of 95527 and 95544?

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 95527 and 95544 is 9127031688.

LCM(95527,95544) = 9127031688

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Least Common Multiple of 95527 and 95544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95527 and 95544, than apply into the LCM equation.

GCF(95527,95544) = 1
LCM(95527,95544) = ( 95527 × 95544) / 1
LCM(95527,95544) = 9127031688 / 1
LCM(95527,95544) = 9127031688

Least Common Multiple (LCM) of 95527 and 95544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95527 and 95544. First we will calculate the prime factors of 95527 and 95544.

Prime Factorization of 95527

Prime factors of 95527 are 95527. Prime factorization of 95527 in exponential form is:

95527 = 955271

Prime Factorization of 95544

Prime factors of 95544 are 2, 3, 1327. Prime factorization of 95544 in exponential form is:

95544 = 23 × 32 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 95527 and 95544.

LCM(95527,95544) = 955271 × 23 × 32 × 13271
LCM(95527,95544) = 9127031688