What is the Least Common Multiple of 90258 and 90272?

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 90258 and 90272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90258 and 90272, than apply into the LCM equation.

GCF(90258,90272) = 14
LCM(90258,90272) = ( 90258 × 90272) / 14
LCM(90258,90272) = 8147770176 / 14
LCM(90258,90272) = 581983584

Least Common Multiple (LCM) of 90258 and 90272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90258 and 90272. First we will calculate the prime factors of 90258 and 90272.

Prime Factorization of 90258

Prime Factorization of 90272

Now multiplying the highest exponent prime factors to calculate the LCM of 90258 and 90272.

LCM(90258,90272) = 2⁵ × 3¹ × 7² × 307¹ × 13¹ × 31¹
LCM(90258,90272) = 581983584