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What is the Least Common Multiple of 95166 and 95180?

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 95166 and 95180 is 4528949940.

LCM(95166,95180) = 4528949940

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Least Common Multiple of 95166 and 95180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95166 and 95180, than apply into the LCM equation.

GCF(95166,95180) = 2
LCM(95166,95180) = ( 95166 × 95180) / 2
LCM(95166,95180) = 9057899880 / 2
LCM(95166,95180) = 4528949940

Least Common Multiple (LCM) of 95166 and 95180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95166 and 95180. First we will calculate the prime factors of 95166 and 95180.

Prime Factorization of 95166

Prime factors of 95166 are 2, 3, 17, 311. Prime factorization of 95166 in exponential form is:

95166 = 21 × 32 × 171 × 3111

Prime Factorization of 95180

Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:

95180 = 22 × 51 × 47591

Now multiplying the highest exponent prime factors to calculate the LCM of 95166 and 95180.

LCM(95166,95180) = 22 × 32 × 171 × 3111 × 51 × 47591
LCM(95166,95180) = 4528949940