What is the Least Common Multiple of 16540 and 16560?

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 16540 and 16560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16540 and 16560, than apply into the LCM equation.

GCF(16540,16560) = 20
LCM(16540,16560) = ( 16540 × 16560) / 20
LCM(16540,16560) = 273902400 / 20
LCM(16540,16560) = 13695120

Least Common Multiple (LCM) of 16540 and 16560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16540 and 16560. First we will calculate the prime factors of 16540 and 16560.

Prime Factorization of 16540

Prime Factorization of 16560

Now multiplying the highest exponent prime factors to calculate the LCM of 16540 and 16560.

LCM(16540,16560) = 2⁴ × 5¹ × 827¹ × 3² × 23¹
LCM(16540,16560) = 13695120