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What is the Least Common Multiple of 95229 and 95241?

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 95229 and 95241 is 3023235063.

LCM(95229,95241) = 3023235063

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Least Common Multiple of 95229 and 95241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95229 and 95241, than apply into the LCM equation.

GCF(95229,95241) = 3
LCM(95229,95241) = ( 95229 × 95241) / 3
LCM(95229,95241) = 9069705189 / 3
LCM(95229,95241) = 3023235063

Least Common Multiple (LCM) of 95229 and 95241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95229 and 95241. First we will calculate the prime factors of 95229 and 95241.

Prime Factorization of 95229

Prime factors of 95229 are 3, 3527. Prime factorization of 95229 in exponential form is:

95229 = 33 × 35271

Prime Factorization of 95241

Prime factors of 95241 are 3, 53, 599. Prime factorization of 95241 in exponential form is:

95241 = 31 × 531 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 95229 and 95241.

LCM(95229,95241) = 33 × 35271 × 531 × 5991
LCM(95229,95241) = 3023235063