What is the Least Common Multiple of 38926 and 38939?

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 38926 and 38939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38926 and 38939, than apply into the LCM equation.

GCF(38926,38939) = 1
LCM(38926,38939) = ( 38926 × 38939) / 1
LCM(38926,38939) = 1515739514 / 1
LCM(38926,38939) = 1515739514

Least Common Multiple (LCM) of 38926 and 38939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38926 and 38939. First we will calculate the prime factors of 38926 and 38939.

Prime Factorization of 38926

Prime Factorization of 38939

Now multiplying the highest exponent prime factors to calculate the LCM of 38926 and 38939.

LCM(38926,38939) = 2¹ × 19463¹ × 23¹ × 1693¹
LCM(38926,38939) = 1515739514