What is the Least Common Multiple of 90870 and 90889?

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 90870 and 90889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90870 and 90889, than apply into the LCM equation.

GCF(90870,90889) = 1
LCM(90870,90889) = ( 90870 × 90889) / 1
LCM(90870,90889) = 8259083430 / 1
LCM(90870,90889) = 8259083430

Least Common Multiple (LCM) of 90870 and 90889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90870 and 90889. First we will calculate the prime factors of 90870 and 90889.

Prime Factorization of 90870

Prime Factorization of 90889

Now multiplying the highest exponent prime factors to calculate the LCM of 90870 and 90889.

LCM(90870,90889) = 2¹ × 3¹ × 5¹ × 13¹ × 233¹ × 97¹ × 937¹
LCM(90870,90889) = 8259083430