What is the Least Common Multiple of 38072 and 38086?

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 38072 and 38086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38072 and 38086, than apply into the LCM equation.

GCF(38072,38086) = 2
LCM(38072,38086) = ( 38072 × 38086) / 2
LCM(38072,38086) = 1450010192 / 2
LCM(38072,38086) = 725005096

Least Common Multiple (LCM) of 38072 and 38086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38072 and 38086. First we will calculate the prime factors of 38072 and 38086.

Prime Factorization of 38072

Prime Factorization of 38086

Now multiplying the highest exponent prime factors to calculate the LCM of 38072 and 38086.

LCM(38072,38086) = 2³ × 4759¹ × 137¹ × 139¹
LCM(38072,38086) = 725005096