What is the Least Common Multiple of 38005 and 38022?

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 38005 and 38022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38005 and 38022, than apply into the LCM equation.

GCF(38005,38022) = 1
LCM(38005,38022) = ( 38005 × 38022) / 1
LCM(38005,38022) = 1445026110 / 1
LCM(38005,38022) = 1445026110

Least Common Multiple (LCM) of 38005 and 38022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38005 and 38022. First we will calculate the prime factors of 38005 and 38022.

Prime Factorization of 38005

Prime Factorization of 38022

Now multiplying the highest exponent prime factors to calculate the LCM of 38005 and 38022.

LCM(38005,38022) = 5¹ × 11¹ × 691¹ × 2¹ × 3¹ × 6337¹
LCM(38005,38022) = 1445026110