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What is the Least Common Multiple of 95204 and 95208?

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 95204 and 95208 is 2266045608.

LCM(95204,95208) = 2266045608

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Least Common Multiple of 95204 and 95208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95204 and 95208, than apply into the LCM equation.

GCF(95204,95208) = 4
LCM(95204,95208) = ( 95204 × 95208) / 4
LCM(95204,95208) = 9064182432 / 4
LCM(95204,95208) = 2266045608

Least Common Multiple (LCM) of 95204 and 95208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95204 and 95208. First we will calculate the prime factors of 95204 and 95208.

Prime Factorization of 95204

Prime factors of 95204 are 2, 23801. Prime factorization of 95204 in exponential form is:

95204 = 22 × 238011

Prime Factorization of 95208

Prime factors of 95208 are 2, 3, 3967. Prime factorization of 95208 in exponential form is:

95208 = 23 × 31 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 95204 and 95208.

LCM(95204,95208) = 23 × 238011 × 31 × 39671
LCM(95204,95208) = 2266045608