What is the Least Common Multiple of 90121 and 90138?

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 90121 and 90138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90121 and 90138, than apply into the LCM equation.

GCF(90121,90138) = 1
LCM(90121,90138) = ( 90121 × 90138) / 1
LCM(90121,90138) = 8123326698 / 1
LCM(90121,90138) = 8123326698

Least Common Multiple (LCM) of 90121 and 90138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90121 and 90138. First we will calculate the prime factors of 90121 and 90138.

Prime Factorization of 90121

Prime Factorization of 90138

Now multiplying the highest exponent prime factors to calculate the LCM of 90121 and 90138.

LCM(90121,90138) = 90121¹ × 2¹ × 3¹ × 83¹ × 181¹
LCM(90121,90138) = 8123326698