What is the Least Common Multiple of 16872 and 16890?

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 16890 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 16890, than apply into the LCM equation.

GCF(16872,16890) = 6
LCM(16872,16890) = ( 16872 × 16890) / 6
LCM(16872,16890) = 284968080 / 6
LCM(16872,16890) = 47494680

Least Common Multiple (LCM) of 16872 and 16890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16872 and 16890. First we will calculate the prime factors of 16872 and 16890.

Prime Factorization of 16872

Prime Factorization of 16890

Now multiplying the highest exponent prime factors to calculate the LCM of 16872 and 16890.

LCM(16872,16890) = 2³ × 3¹ × 19¹ × 37¹ × 5¹ × 563¹
LCM(16872,16890) = 47494680