What is the Least Common Multiple of 18684 and 18699?

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 of 18684 and 18699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18684 and 18699, than apply into the LCM equation.

GCF(18684,18699) = 3
LCM(18684,18699) = ( 18684 × 18699) / 3
LCM(18684,18699) = 349372116 / 3
LCM(18684,18699) = 116457372

Least Common Multiple (LCM) of 18684 and 18699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18684 and 18699. First we will calculate the prime factors of 18684 and 18699.

Prime Factorization of 18684

Prime Factorization of 18699

Now multiplying the highest exponent prime factors to calculate the LCM of 18684 and 18699.

LCM(18684,18699) = 2² × 3³ × 173¹ × 23¹ × 271¹
LCM(18684,18699) = 116457372