What is the Least Common Multiple of 90135 and 90143?

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 90143 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 90143, than apply into the LCM equation.

GCF(90135,90143) = 1
LCM(90135,90143) = ( 90135 × 90143) / 1
LCM(90135,90143) = 8125039305 / 1
LCM(90135,90143) = 8125039305

Least Common Multiple (LCM) of 90135 and 90143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90135 and 90143. First we will calculate the prime factors of 90135 and 90143.

Prime Factorization of 90135

Prime Factorization of 90143

Now multiplying the highest exponent prime factors to calculate the LCM of 90135 and 90143.

LCM(90135,90143) = 3² × 5¹ × 2003¹ × 109¹ × 827¹
LCM(90135,90143) = 8125039305