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What is the Least Common Multiple of 18834 and 18852?

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 18834 and 18852 is 59176428.

LCM(18834,18852) = 59176428

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Least Common Multiple of 18834 and 18852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18834 and 18852, than apply into the LCM equation.

GCF(18834,18852) = 6
LCM(18834,18852) = ( 18834 × 18852) / 6
LCM(18834,18852) = 355058568 / 6
LCM(18834,18852) = 59176428

Least Common Multiple (LCM) of 18834 and 18852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18834 and 18852. First we will calculate the prime factors of 18834 and 18852.

Prime Factorization of 18834

Prime factors of 18834 are 2, 3, 43, 73. Prime factorization of 18834 in exponential form is:

18834 = 21 × 31 × 431 × 731

Prime Factorization of 18852

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

18852 = 22 × 31 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 18834 and 18852.

LCM(18834,18852) = 22 × 31 × 431 × 731 × 15711
LCM(18834,18852) = 59176428