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What is the Least Common Multiple of 95271 and 95276?

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 95271 and 95276 is 9077039796.

LCM(95271,95276) = 9077039796

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Least Common Multiple of 95271 and 95276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95271 and 95276, than apply into the LCM equation.

GCF(95271,95276) = 1
LCM(95271,95276) = ( 95271 × 95276) / 1
LCM(95271,95276) = 9077039796 / 1
LCM(95271,95276) = 9077039796

Least Common Multiple (LCM) of 95271 and 95276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95271 and 95276. First we will calculate the prime factors of 95271 and 95276.

Prime Factorization of 95271

Prime factors of 95271 are 3, 11, 2887. Prime factorization of 95271 in exponential form is:

95271 = 31 × 111 × 28871

Prime Factorization of 95276

Prime factors of 95276 are 2, 23819. Prime factorization of 95276 in exponential form is:

95276 = 22 × 238191

Now multiplying the highest exponent prime factors to calculate the LCM of 95271 and 95276.

LCM(95271,95276) = 31 × 111 × 28871 × 22 × 238191
LCM(95271,95276) = 9077039796