What is the Least Common Multiple of 18880 and 18885?

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 18880 and 18885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18880 and 18885, than apply into the LCM equation.

GCF(18880,18885) = 5
LCM(18880,18885) = ( 18880 × 18885) / 5
LCM(18880,18885) = 356548800 / 5
LCM(18880,18885) = 71309760

Least Common Multiple (LCM) of 18880 and 18885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18880 and 18885. First we will calculate the prime factors of 18880 and 18885.

Prime Factorization of 18880

Prime Factorization of 18885

Now multiplying the highest exponent prime factors to calculate the LCM of 18880 and 18885.

LCM(18880,18885) = 2⁶ × 5¹ × 59¹ × 3¹ × 1259¹
LCM(18880,18885) = 71309760