What is the Least Common Multiple of 90852 and 90870?

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 90852 and 90870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90852 and 90870, than apply into the LCM equation.

GCF(90852,90870) = 6
LCM(90852,90870) = ( 90852 × 90870) / 6
LCM(90852,90870) = 8255721240 / 6
LCM(90852,90870) = 1375953540

Least Common Multiple (LCM) of 90852 and 90870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90852 and 90870. First we will calculate the prime factors of 90852 and 90870.

Prime Factorization of 90852

Prime Factorization of 90870

Now multiplying the highest exponent prime factors to calculate the LCM of 90852 and 90870.

LCM(90852,90870) = 2² × 3¹ × 67¹ × 113¹ × 5¹ × 13¹ × 233¹
LCM(90852,90870) = 1375953540