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What is the Least Common Multiple of 95851 and 95870?

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 95851 and 95870 is 9189235370.

LCM(95851,95870) = 9189235370

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Least Common Multiple of 95851 and 95870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95851 and 95870, than apply into the LCM equation.

GCF(95851,95870) = 1
LCM(95851,95870) = ( 95851 × 95870) / 1
LCM(95851,95870) = 9189235370 / 1
LCM(95851,95870) = 9189235370

Least Common Multiple (LCM) of 95851 and 95870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95851 and 95870. First we will calculate the prime factors of 95851 and 95870.

Prime Factorization of 95851

Prime factors of 95851 are 7, 13693. Prime factorization of 95851 in exponential form is:

95851 = 71 × 136931

Prime Factorization of 95870

Prime factors of 95870 are 2, 5, 9587. Prime factorization of 95870 in exponential form is:

95870 = 21 × 51 × 95871

Now multiplying the highest exponent prime factors to calculate the LCM of 95851 and 95870.

LCM(95851,95870) = 71 × 136931 × 21 × 51 × 95871
LCM(95851,95870) = 9189235370