What is the Least Common Multiple of 38314 and 38328?

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 38314 and 38328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38314 and 38328, than apply into the LCM equation.

GCF(38314,38328) = 2
LCM(38314,38328) = ( 38314 × 38328) / 2
LCM(38314,38328) = 1468498992 / 2
LCM(38314,38328) = 734249496

Least Common Multiple (LCM) of 38314 and 38328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38314 and 38328. First we will calculate the prime factors of 38314 and 38328.

Prime Factorization of 38314

Prime Factorization of 38328

Now multiplying the highest exponent prime factors to calculate the LCM of 38314 and 38328.

LCM(38314,38328) = 2³ × 19157¹ × 3¹ × 1597¹
LCM(38314,38328) = 734249496