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What is the Least Common Multiple of 95221 and 95231?

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 95221 and 95231 is 9067991051.

LCM(95221,95231) = 9067991051

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Least Common Multiple of 95221 and 95231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95221 and 95231, than apply into the LCM equation.

GCF(95221,95231) = 1
LCM(95221,95231) = ( 95221 × 95231) / 1
LCM(95221,95231) = 9067991051 / 1
LCM(95221,95231) = 9067991051

Least Common Multiple (LCM) of 95221 and 95231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95221 and 95231. First we will calculate the prime factors of 95221 and 95231.

Prime Factorization of 95221

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

95221 = 71 × 611 × 2231

Prime Factorization of 95231

Prime factors of 95231 are 95231. Prime factorization of 95231 in exponential form is:

95231 = 952311

Now multiplying the highest exponent prime factors to calculate the LCM of 95221 and 95231.

LCM(95221,95231) = 71 × 611 × 2231 × 952311
LCM(95221,95231) = 9067991051