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What is the Least Common Multiple of 18852 and 18871?

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 18852 and 18871 is 355756092.

LCM(18852,18871) = 355756092

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Least Common Multiple of 18852 and 18871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18852 and 18871, than apply into the LCM equation.

GCF(18852,18871) = 1
LCM(18852,18871) = ( 18852 × 18871) / 1
LCM(18852,18871) = 355756092 / 1
LCM(18852,18871) = 355756092

Least Common Multiple (LCM) of 18852 and 18871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18852 and 18871. First we will calculate the prime factors of 18852 and 18871.

Prime Factorization of 18852

Prime factors of 18852 are 2, 3, 1571. Prime factorization of 18852 in exponential form is:

18852 = 22 × 31 × 15711

Prime Factorization of 18871

Prime factors of 18871 are 113, 167. Prime factorization of 18871 in exponential form is:

18871 = 1131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 18852 and 18871.

LCM(18852,18871) = 22 × 31 × 15711 × 1131 × 1671
LCM(18852,18871) = 355756092