What is the Least Common Multiple of 91120 and 91140?

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 91120 and 91140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91120 and 91140, than apply into the LCM equation.

GCF(91120,91140) = 20
LCM(91120,91140) = ( 91120 × 91140) / 20
LCM(91120,91140) = 8304676800 / 20
LCM(91120,91140) = 415233840

Least Common Multiple (LCM) of 91120 and 91140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91120 and 91140. First we will calculate the prime factors of 91120 and 91140.

Prime Factorization of 91120

Prime Factorization of 91140

Now multiplying the highest exponent prime factors to calculate the LCM of 91120 and 91140.

LCM(91120,91140) = 2⁴ × 5¹ × 17¹ × 67¹ × 3¹ × 7² × 31¹
LCM(91120,91140) = 415233840