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What is the Least Common Multiple of 95255 and 95268?

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 95255 and 95268 is 9074753340.

LCM(95255,95268) = 9074753340

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Least Common Multiple of 95255 and 95268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95255 and 95268, than apply into the LCM equation.

GCF(95255,95268) = 1
LCM(95255,95268) = ( 95255 × 95268) / 1
LCM(95255,95268) = 9074753340 / 1
LCM(95255,95268) = 9074753340

Least Common Multiple (LCM) of 95255 and 95268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95255 and 95268. First we will calculate the prime factors of 95255 and 95268.

Prime Factorization of 95255

Prime factors of 95255 are 5, 19051. Prime factorization of 95255 in exponential form is:

95255 = 51 × 190511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95255 and 95268.

LCM(95255,95268) = 51 × 190511 × 22 × 31 × 171 × 4671
LCM(95255,95268) = 9074753340