What is the Least Common Multiple of 90272 and 90284?

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 90272 and 90284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90272 and 90284, than apply into the LCM equation.

GCF(90272,90284) = 4
LCM(90272,90284) = ( 90272 × 90284) / 4
LCM(90272,90284) = 8150117248 / 4
LCM(90272,90284) = 2037529312

Least Common Multiple (LCM) of 90272 and 90284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90272 and 90284. First we will calculate the prime factors of 90272 and 90284.

Prime Factorization of 90272

Prime Factorization of 90284

Now multiplying the highest exponent prime factors to calculate the LCM of 90272 and 90284.

LCM(90272,90284) = 2⁵ × 7¹ × 13¹ × 31¹ × 22571¹
LCM(90272,90284) = 2037529312