What is the Least Common Multiple of 38086 and 38091?

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 38086 and 38091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38086 and 38091, than apply into the LCM equation.

GCF(38086,38091) = 1
LCM(38086,38091) = ( 38086 × 38091) / 1
LCM(38086,38091) = 1450733826 / 1
LCM(38086,38091) = 1450733826

Least Common Multiple (LCM) of 38086 and 38091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38086 and 38091. First we will calculate the prime factors of 38086 and 38091.

Prime Factorization of 38086

Prime Factorization of 38091

Now multiplying the highest exponent prime factors to calculate the LCM of 38086 and 38091.

LCM(38086,38091) = 2¹ × 137¹ × 139¹ × 3¹ × 12697¹
LCM(38086,38091) = 1450733826