What is the Least Common Multiple of 38416 and 38424?

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 38416 and 38424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38416 and 38424, than apply into the LCM equation.

GCF(38416,38424) = 8
LCM(38416,38424) = ( 38416 × 38424) / 8
LCM(38416,38424) = 1476096384 / 8
LCM(38416,38424) = 184512048

Least Common Multiple (LCM) of 38416 and 38424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38416 and 38424. First we will calculate the prime factors of 38416 and 38424.

Prime Factorization of 38416

Prime Factorization of 38424

Now multiplying the highest exponent prime factors to calculate the LCM of 38416 and 38424.

LCM(38416,38424) = 2⁴ × 7⁴ × 3¹ × 1601¹
LCM(38416,38424) = 184512048