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What is the Least Common Multiple of 95150 and 95161?

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 95150 and 95161 is 823142650.

LCM(95150,95161) = 823142650

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Least Common Multiple of 95150 and 95161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95150 and 95161, than apply into the LCM equation.

GCF(95150,95161) = 11
LCM(95150,95161) = ( 95150 × 95161) / 11
LCM(95150,95161) = 9054569150 / 11
LCM(95150,95161) = 823142650

Least Common Multiple (LCM) of 95150 and 95161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95150 and 95161. First we will calculate the prime factors of 95150 and 95161.

Prime Factorization of 95150

Prime factors of 95150 are 2, 5, 11, 173. Prime factorization of 95150 in exponential form is:

95150 = 21 × 52 × 111 × 1731

Prime Factorization of 95161

Prime factors of 95161 are 11, 41, 211. Prime factorization of 95161 in exponential form is:

95161 = 111 × 411 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 95150 and 95161.

LCM(95150,95161) = 21 × 52 × 111 × 1731 × 411 × 2111
LCM(95150,95161) = 823142650