What is the Least Common Multiple of 18960 and 18976?

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 18960 and 18976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18960 and 18976, than apply into the LCM equation.

GCF(18960,18976) = 16
LCM(18960,18976) = ( 18960 × 18976) / 16
LCM(18960,18976) = 359784960 / 16
LCM(18960,18976) = 22486560

Least Common Multiple (LCM) of 18960 and 18976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18960 and 18976. First we will calculate the prime factors of 18960 and 18976.

Prime Factorization of 18960

Prime Factorization of 18976

Now multiplying the highest exponent prime factors to calculate the LCM of 18960 and 18976.

LCM(18960,18976) = 2⁵ × 3¹ × 5¹ × 79¹ × 593¹
LCM(18960,18976) = 22486560