What is the Least Common Multiple of 18684 and 18693?

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 18693 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 18693, than apply into the LCM equation.

GCF(18684,18693) = 9
LCM(18684,18693) = ( 18684 × 18693) / 9
LCM(18684,18693) = 349260012 / 9
LCM(18684,18693) = 38806668

Least Common Multiple (LCM) of 18684 and 18693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18684 and 18693. First we will calculate the prime factors of 18684 and 18693.

Prime Factorization of 18684

Prime Factorization of 18693

Now multiplying the highest exponent prime factors to calculate the LCM of 18684 and 18693.

LCM(18684,18693) = 2² × 3³ × 173¹ × 31¹ × 67¹
LCM(18684,18693) = 38806668