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What is the Least Common Multiple of 95471 and 95486?

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 95471 and 95486 is 9116143906.

LCM(95471,95486) = 9116143906

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Least Common Multiple of 95471 and 95486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95471 and 95486, than apply into the LCM equation.

GCF(95471,95486) = 1
LCM(95471,95486) = ( 95471 × 95486) / 1
LCM(95471,95486) = 9116143906 / 1
LCM(95471,95486) = 9116143906

Least Common Multiple (LCM) of 95471 and 95486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95471 and 95486. First we will calculate the prime factors of 95471 and 95486.

Prime Factorization of 95471

Prime factors of 95471 are 95471. Prime factorization of 95471 in exponential form is:

95471 = 954711

Prime Factorization of 95486

Prime factors of 95486 are 2, 47743. Prime factorization of 95486 in exponential form is:

95486 = 21 × 477431

Now multiplying the highest exponent prime factors to calculate the LCM of 95471 and 95486.

LCM(95471,95486) = 954711 × 21 × 477431
LCM(95471,95486) = 9116143906