What is the Least Common Multiple of 18864 and 18880?

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 18864 and 18880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18864 and 18880, than apply into the LCM equation.

GCF(18864,18880) = 16
LCM(18864,18880) = ( 18864 × 18880) / 16
LCM(18864,18880) = 356152320 / 16
LCM(18864,18880) = 22259520

Least Common Multiple (LCM) of 18864 and 18880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18864 and 18880. First we will calculate the prime factors of 18864 and 18880.

Prime Factorization of 18864

Prime Factorization of 18880

Now multiplying the highest exponent prime factors to calculate the LCM of 18864 and 18880.

LCM(18864,18880) = 2⁶ × 3² × 131¹ × 5¹ × 59¹
LCM(18864,18880) = 22259520