What is the Least Common Multiple of 16920 and 16939?

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 16939 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 16939, than apply into the LCM equation.

GCF(16920,16939) = 1
LCM(16920,16939) = ( 16920 × 16939) / 1
LCM(16920,16939) = 286607880 / 1
LCM(16920,16939) = 286607880

Least Common Multiple (LCM) of 16920 and 16939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16920 and 16939. First we will calculate the prime factors of 16920 and 16939.

Prime Factorization of 16920

Prime Factorization of 16939

Now multiplying the highest exponent prime factors to calculate the LCM of 16920 and 16939.

LCM(16920,16939) = 2³ × 3² × 5¹ × 47¹ × 13¹ × 1303¹
LCM(16920,16939) = 286607880