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What is the Least Common Multiple of 95077 and 95091?

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 95077 and 95091 is 9040967007.

LCM(95077,95091) = 9040967007

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Least Common Multiple of 95077 and 95091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95077 and 95091, than apply into the LCM equation.

GCF(95077,95091) = 1
LCM(95077,95091) = ( 95077 × 95091) / 1
LCM(95077,95091) = 9040967007 / 1
LCM(95077,95091) = 9040967007

Least Common Multiple (LCM) of 95077 and 95091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95077 and 95091. First we will calculate the prime factors of 95077 and 95091.

Prime Factorization of 95077

Prime factors of 95077 are 31, 3067. Prime factorization of 95077 in exponential form is:

95077 = 311 × 30671

Prime Factorization of 95091

Prime factors of 95091 are 3, 29, 1093. Prime factorization of 95091 in exponential form is:

95091 = 31 × 291 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 95077 and 95091.

LCM(95077,95091) = 311 × 30671 × 31 × 291 × 10931
LCM(95077,95091) = 9040967007