What is the Least Common Multiple of 18874 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 18874 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 18874 and 18880, than apply into the LCM equation.

GCF(18874,18880) = 2
LCM(18874,18880) = ( 18874 × 18880) / 2
LCM(18874,18880) = 356341120 / 2
LCM(18874,18880) = 178170560

Least Common Multiple (LCM) of 18874 and 18880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18874 and 18880. First we will calculate the prime factors of 18874 and 18880.

Prime Factorization of 18874

Prime Factorization of 18880

Now multiplying the highest exponent prime factors to calculate the LCM of 18874 and 18880.

LCM(18874,18880) = 2⁶ × 9437¹ × 5¹ × 59¹
LCM(18874,18880) = 178170560