What is the Least Common Multiple of 16353 and 16368?

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 16353 and 16368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16353 and 16368, than apply into the LCM equation.

GCF(16353,16368) = 3
LCM(16353,16368) = ( 16353 × 16368) / 3
LCM(16353,16368) = 267665904 / 3
LCM(16353,16368) = 89221968

Least Common Multiple (LCM) of 16353 and 16368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16353 and 16368. First we will calculate the prime factors of 16353 and 16368.

Prime Factorization of 16353

Prime Factorization of 16368

Now multiplying the highest exponent prime factors to calculate the LCM of 16353 and 16368.

LCM(16353,16368) = 3² × 23¹ × 79¹ × 2⁴ × 11¹ × 31¹
LCM(16353,16368) = 89221968