What is the Least Common Multiple of 16920 and 16938?

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 16920 and 16938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16920 and 16938, than apply into the LCM equation.

GCF(16920,16938) = 18
LCM(16920,16938) = ( 16920 × 16938) / 18
LCM(16920,16938) = 286590960 / 18
LCM(16920,16938) = 15921720

Least Common Multiple (LCM) of 16920 and 16938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16920 and 16938. First we will calculate the prime factors of 16920 and 16938.

Prime Factorization of 16920

Prime Factorization of 16938

Now multiplying the highest exponent prime factors to calculate the LCM of 16920 and 16938.

LCM(16920,16938) = 2³ × 3² × 5¹ × 47¹ × 941¹
LCM(16920,16938) = 15921720