What is the Least Common Multiple of 18408 and 18428?

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 18408 and 18428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18408 and 18428, than apply into the LCM equation.

GCF(18408,18428) = 4
LCM(18408,18428) = ( 18408 × 18428) / 4
LCM(18408,18428) = 339222624 / 4
LCM(18408,18428) = 84805656

Least Common Multiple (LCM) of 18408 and 18428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18408 and 18428. First we will calculate the prime factors of 18408 and 18428.

Prime Factorization of 18408

Prime Factorization of 18428

Now multiplying the highest exponent prime factors to calculate the LCM of 18408 and 18428.

LCM(18408,18428) = 2³ × 3¹ × 13¹ × 59¹ × 17¹ × 271¹
LCM(18408,18428) = 84805656