What is the Least Common Multiple of 90252 and 90259?

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 90252 and 90259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90252 and 90259, than apply into the LCM equation.

GCF(90252,90259) = 1
LCM(90252,90259) = ( 90252 × 90259) / 1
LCM(90252,90259) = 8146055268 / 1
LCM(90252,90259) = 8146055268

Least Common Multiple (LCM) of 90252 and 90259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90252 and 90259. First we will calculate the prime factors of 90252 and 90259.

Prime Factorization of 90252

Prime Factorization of 90259

Now multiplying the highest exponent prime factors to calculate the LCM of 90252 and 90259.

LCM(90252,90259) = 2² × 3² × 23¹ × 109¹ × 13¹ × 53¹ × 131¹
LCM(90252,90259) = 8146055268