What is the Least Common Multiple of 90244 and 90252?

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 90244 and 90252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90244 and 90252, than apply into the LCM equation.

GCF(90244,90252) = 4
LCM(90244,90252) = ( 90244 × 90252) / 4
LCM(90244,90252) = 8144701488 / 4
LCM(90244,90252) = 2036175372

Least Common Multiple (LCM) of 90244 and 90252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90244 and 90252. First we will calculate the prime factors of 90244 and 90252.

Prime Factorization of 90244

Prime Factorization of 90252

Now multiplying the highest exponent prime factors to calculate the LCM of 90244 and 90252.

LCM(90244,90252) = 2² × 7¹ × 11¹ × 293¹ × 3² × 23¹ × 109¹
LCM(90244,90252) = 2036175372