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What is the Least Common Multiple of 8857 and 8862?

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 8857 and 8862 is 78490734.

LCM(8857,8862) = 78490734

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Least Common Multiple of 8857 and 8862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8857 and 8862, than apply into the LCM equation.

GCF(8857,8862) = 1
LCM(8857,8862) = ( 8857 × 8862) / 1
LCM(8857,8862) = 78490734 / 1
LCM(8857,8862) = 78490734

Least Common Multiple (LCM) of 8857 and 8862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8857 and 8862. First we will calculate the prime factors of 8857 and 8862.

Prime Factorization of 8857

Prime factors of 8857 are 17, 521. Prime factorization of 8857 in exponential form is:

8857 = 171 × 5211

Prime Factorization of 8862

Prime factors of 8862 are 2, 3, 7, 211. Prime factorization of 8862 in exponential form is:

8862 = 21 × 31 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8857 and 8862.

LCM(8857,8862) = 171 × 5211 × 21 × 31 × 71 × 2111
LCM(8857,8862) = 78490734