What is the Least Common Multiple of 16470 and 16480?

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 16470 and 16480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16470 and 16480, than apply into the LCM equation.

GCF(16470,16480) = 10
LCM(16470,16480) = ( 16470 × 16480) / 10
LCM(16470,16480) = 271425600 / 10
LCM(16470,16480) = 27142560

Least Common Multiple (LCM) of 16470 and 16480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16470 and 16480. First we will calculate the prime factors of 16470 and 16480.

Prime Factorization of 16470

Prime Factorization of 16480

Now multiplying the highest exponent prime factors to calculate the LCM of 16470 and 16480.

LCM(16470,16480) = 2⁵ × 3³ × 5¹ × 61¹ × 103¹
LCM(16470,16480) = 27142560