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What is the Least Common Multiple of 95476 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 95476 and 95486 is 4558310668.

LCM(95476,95486) = 4558310668

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Least Common Multiple of 95476 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 95476 and 95486, than apply into the LCM equation.

GCF(95476,95486) = 2
LCM(95476,95486) = ( 95476 × 95486) / 2
LCM(95476,95486) = 9116621336 / 2
LCM(95476,95486) = 4558310668

Least Common Multiple (LCM) of 95476 and 95486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95476 and 95486. First we will calculate the prime factors of 95476 and 95486.

Prime Factorization of 95476

Prime factors of 95476 are 2, 23869. Prime factorization of 95476 in exponential form is:

95476 = 22 × 238691

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 95476 and 95486.

LCM(95476,95486) = 22 × 238691 × 477431
LCM(95476,95486) = 4558310668