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What is the Least Common Multiple of 95268 and 95287?

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 95268 and 95287 is 9077801916.

LCM(95268,95287) = 9077801916

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Least Common Multiple of 95268 and 95287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95268 and 95287, than apply into the LCM equation.

GCF(95268,95287) = 1
LCM(95268,95287) = ( 95268 × 95287) / 1
LCM(95268,95287) = 9077801916 / 1
LCM(95268,95287) = 9077801916

Least Common Multiple (LCM) of 95268 and 95287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95268 and 95287. First we will calculate the prime factors of 95268 and 95287.

Prime Factorization of 95268

Prime factors of 95268 are 2, 3, 17, 467. Prime factorization of 95268 in exponential form is:

95268 = 22 × 31 × 171 × 4671

Prime Factorization of 95287

Prime factors of 95287 are 95287. Prime factorization of 95287 in exponential form is:

95287 = 952871

Now multiplying the highest exponent prime factors to calculate the LCM of 95268 and 95287.

LCM(95268,95287) = 22 × 31 × 171 × 4671 × 952871
LCM(95268,95287) = 9077801916