What is the Least Common Multiple of 16920 and 16935?

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 16935 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 16935, than apply into the LCM equation.

GCF(16920,16935) = 15
LCM(16920,16935) = ( 16920 × 16935) / 15
LCM(16920,16935) = 286540200 / 15
LCM(16920,16935) = 19102680

Least Common Multiple (LCM) of 16920 and 16935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16920 and 16935. First we will calculate the prime factors of 16920 and 16935.

Prime Factorization of 16920

Prime Factorization of 16935

Now multiplying the highest exponent prime factors to calculate the LCM of 16920 and 16935.

LCM(16920,16935) = 2³ × 3² × 5¹ × 47¹ × 1129¹
LCM(16920,16935) = 19102680