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What is the Least Common Multiple of 95268 and 95286?

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 95286 is 1512951108.

LCM(95268,95286) = 1512951108

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Least Common Multiple of 95268 and 95286 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 95286, than apply into the LCM equation.

GCF(95268,95286) = 6
LCM(95268,95286) = ( 95268 × 95286) / 6
LCM(95268,95286) = 9077706648 / 6
LCM(95268,95286) = 1512951108

Least Common Multiple (LCM) of 95268 and 95286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95268 and 95286. First we will calculate the prime factors of 95268 and 95286.

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 95286

Prime factors of 95286 are 2, 3, 15881. Prime factorization of 95286 in exponential form is:

95286 = 21 × 31 × 158811

Now multiplying the highest exponent prime factors to calculate the LCM of 95268 and 95286.

LCM(95268,95286) = 22 × 31 × 171 × 4671 × 158811
LCM(95268,95286) = 1512951108