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What is the Least Common Multiple of 8851 and 8858?

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 8851 and 8858 is 78402158.

LCM(8851,8858) = 78402158

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Least Common Multiple of 8851 and 8858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8851 and 8858, than apply into the LCM equation.

GCF(8851,8858) = 1
LCM(8851,8858) = ( 8851 × 8858) / 1
LCM(8851,8858) = 78402158 / 1
LCM(8851,8858) = 78402158

Least Common Multiple (LCM) of 8851 and 8858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8851 and 8858. First we will calculate the prime factors of 8851 and 8858.

Prime Factorization of 8851

Prime factors of 8851 are 53, 167. Prime factorization of 8851 in exponential form is:

8851 = 531 × 1671

Prime Factorization of 8858

Prime factors of 8858 are 2, 43, 103. Prime factorization of 8858 in exponential form is:

8858 = 21 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8851 and 8858.

LCM(8851,8858) = 531 × 1671 × 21 × 431 × 1031
LCM(8851,8858) = 78402158