What is the Least Common Multiple of 90135 and 90142?

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 90135 and 90142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90135 and 90142, than apply into the LCM equation.

GCF(90135,90142) = 1
LCM(90135,90142) = ( 90135 × 90142) / 1
LCM(90135,90142) = 8124949170 / 1
LCM(90135,90142) = 8124949170

Least Common Multiple (LCM) of 90135 and 90142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90135 and 90142. First we will calculate the prime factors of 90135 and 90142.

Prime Factorization of 90135

Prime Factorization of 90142

Now multiplying the highest exponent prime factors to calculate the LCM of 90135 and 90142.

LCM(90135,90142) = 3² × 5¹ × 2003¹ × 2¹ × 13¹ × 3467¹
LCM(90135,90142) = 8124949170