What is the Least Common Multiple of 16720 and 16739?

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 16720 and 16739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16720 and 16739, than apply into the LCM equation.

GCF(16720,16739) = 19
LCM(16720,16739) = ( 16720 × 16739) / 19
LCM(16720,16739) = 279876080 / 19
LCM(16720,16739) = 14730320

Least Common Multiple (LCM) of 16720 and 16739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16720 and 16739. First we will calculate the prime factors of 16720 and 16739.

Prime Factorization of 16720

Prime Factorization of 16739

Now multiplying the highest exponent prime factors to calculate the LCM of 16720 and 16739.

LCM(16720,16739) = 2⁴ × 5¹ × 11¹ × 19¹ × 881¹
LCM(16720,16739) = 14730320