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What is the Least Common Multiple of 95204 and 95221?

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 95221 is 9065420084.

LCM(95204,95221) = 9065420084

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Least Common Multiple of 95204 and 95221 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 95221, than apply into the LCM equation.

GCF(95204,95221) = 1
LCM(95204,95221) = ( 95204 × 95221) / 1
LCM(95204,95221) = 9065420084 / 1
LCM(95204,95221) = 9065420084

Least Common Multiple (LCM) of 95204 and 95221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95204 and 95221. First we will calculate the prime factors of 95204 and 95221.

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 95221

Prime factors of 95221 are 7, 61, 223. Prime factorization of 95221 in exponential form is:

95221 = 71 × 611 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 95204 and 95221.

LCM(95204,95221) = 22 × 238011 × 71 × 611 × 2231
LCM(95204,95221) = 9065420084