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What is the Least Common Multiple of 95164 and 95182?

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 95164 and 95182 is 4528949924.

LCM(95164,95182) = 4528949924

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Least Common Multiple of 95164 and 95182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95164 and 95182, than apply into the LCM equation.

GCF(95164,95182) = 2
LCM(95164,95182) = ( 95164 × 95182) / 2
LCM(95164,95182) = 9057899848 / 2
LCM(95164,95182) = 4528949924

Least Common Multiple (LCM) of 95164 and 95182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95164 and 95182. First we will calculate the prime factors of 95164 and 95182.

Prime Factorization of 95164

Prime factors of 95164 are 2, 37, 643. Prime factorization of 95164 in exponential form is:

95164 = 22 × 371 × 6431

Prime Factorization of 95182

Prime factors of 95182 are 2, 47591. Prime factorization of 95182 in exponential form is:

95182 = 21 × 475911

Now multiplying the highest exponent prime factors to calculate the LCM of 95164 and 95182.

LCM(95164,95182) = 22 × 371 × 6431 × 475911
LCM(95164,95182) = 4528949924