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What is the Least Common Multiple of 95211 and 95226?

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 95211 and 95226 is 3022187562.

LCM(95211,95226) = 3022187562

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Least Common Multiple of 95211 and 95226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95211 and 95226, than apply into the LCM equation.

GCF(95211,95226) = 3
LCM(95211,95226) = ( 95211 × 95226) / 3
LCM(95211,95226) = 9066562686 / 3
LCM(95211,95226) = 3022187562

Least Common Multiple (LCM) of 95211 and 95226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95211 and 95226. First we will calculate the prime factors of 95211 and 95226.

Prime Factorization of 95211

Prime factors of 95211 are 3, 71, 149. Prime factorization of 95211 in exponential form is:

95211 = 32 × 711 × 1491

Prime Factorization of 95226

Prime factors of 95226 are 2, 3, 59, 269. Prime factorization of 95226 in exponential form is:

95226 = 21 × 31 × 591 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 95211 and 95226.

LCM(95211,95226) = 32 × 711 × 1491 × 21 × 591 × 2691
LCM(95211,95226) = 3022187562