What is the Least Common Multiple of 16872 and 16885?

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 16872 and 16885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16872 and 16885, than apply into the LCM equation.

GCF(16872,16885) = 1
LCM(16872,16885) = ( 16872 × 16885) / 1
LCM(16872,16885) = 284883720 / 1
LCM(16872,16885) = 284883720

Least Common Multiple (LCM) of 16872 and 16885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16872 and 16885. First we will calculate the prime factors of 16872 and 16885.

Prime Factorization of 16872

Prime Factorization of 16885

Now multiplying the highest exponent prime factors to calculate the LCM of 16872 and 16885.

LCM(16872,16885) = 2³ × 3¹ × 19¹ × 37¹ × 5¹ × 11¹ × 307¹
LCM(16872,16885) = 284883720