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What is the Least Common Multiple of 95260 and 95270?

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 95260 and 95270 is 907542020.

LCM(95260,95270) = 907542020

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Least Common Multiple of 95260 and 95270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95260 and 95270, than apply into the LCM equation.

GCF(95260,95270) = 10
LCM(95260,95270) = ( 95260 × 95270) / 10
LCM(95260,95270) = 9075420200 / 10
LCM(95260,95270) = 907542020

Least Common Multiple (LCM) of 95260 and 95270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95260 and 95270. First we will calculate the prime factors of 95260 and 95270.

Prime Factorization of 95260

Prime factors of 95260 are 2, 5, 11, 433. Prime factorization of 95260 in exponential form is:

95260 = 22 × 51 × 111 × 4331

Prime Factorization of 95270

Prime factors of 95270 are 2, 5, 7, 1361. Prime factorization of 95270 in exponential form is:

95270 = 21 × 51 × 71 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 95260 and 95270.

LCM(95260,95270) = 22 × 51 × 111 × 4331 × 71 × 13611
LCM(95260,95270) = 907542020