What is the Least Common Multiple of 90720 and 90727?

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 90720 and 90727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90720 and 90727, than apply into the LCM equation.

GCF(90720,90727) = 7
LCM(90720,90727) = ( 90720 × 90727) / 7
LCM(90720,90727) = 8230753440 / 7
LCM(90720,90727) = 1175821920

Least Common Multiple (LCM) of 90720 and 90727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90720 and 90727. First we will calculate the prime factors of 90720 and 90727.

Prime Factorization of 90720

Prime Factorization of 90727

Now multiplying the highest exponent prime factors to calculate the LCM of 90720 and 90727.

LCM(90720,90727) = 2⁵ × 3⁴ × 5¹ × 7¹ × 13¹ × 997¹
LCM(90720,90727) = 1175821920