What is the Least Common Multiple of 38054 and 38058?

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 38054 and 38058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38054 and 38058, than apply into the LCM equation.

GCF(38054,38058) = 2
LCM(38054,38058) = ( 38054 × 38058) / 2
LCM(38054,38058) = 1448259132 / 2
LCM(38054,38058) = 724129566

Least Common Multiple (LCM) of 38054 and 38058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38054 and 38058. First we will calculate the prime factors of 38054 and 38058.

Prime Factorization of 38054

Prime Factorization of 38058

Now multiplying the highest exponent prime factors to calculate the LCM of 38054 and 38058.

LCM(38054,38058) = 2¹ × 53¹ × 359¹ × 3¹ × 6343¹
LCM(38054,38058) = 724129566