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What is the Least Common Multiple of 70887 and 70891?

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 70887 and 70891 is 5025250317.

LCM(70887,70891) = 5025250317

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Least Common Multiple of 70887 and 70891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70887 and 70891, than apply into the LCM equation.

GCF(70887,70891) = 1
LCM(70887,70891) = ( 70887 × 70891) / 1
LCM(70887,70891) = 5025250317 / 1
LCM(70887,70891) = 5025250317

Least Common Multiple (LCM) of 70887 and 70891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70887 and 70891. First we will calculate the prime factors of 70887 and 70891.

Prime Factorization of 70887

Prime factors of 70887 are 3, 23629. Prime factorization of 70887 in exponential form is:

70887 = 31 × 236291

Prime Factorization of 70891

Prime factors of 70891 are 70891. Prime factorization of 70891 in exponential form is:

70891 = 708911

Now multiplying the highest exponent prime factors to calculate the LCM of 70887 and 70891.

LCM(70887,70891) = 31 × 236291 × 708911
LCM(70887,70891) = 5025250317