What is the Least Common Multiple of 91140 and 91160?

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 91140 and 91160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91140 and 91160, than apply into the LCM equation.

GCF(91140,91160) = 20
LCM(91140,91160) = ( 91140 × 91160) / 20
LCM(91140,91160) = 8308322400 / 20
LCM(91140,91160) = 415416120

Least Common Multiple (LCM) of 91140 and 91160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91140 and 91160. First we will calculate the prime factors of 91140 and 91160.

Prime Factorization of 91140

Prime Factorization of 91160

Now multiplying the highest exponent prime factors to calculate the LCM of 91140 and 91160.

LCM(91140,91160) = 2³ × 3¹ × 5¹ × 7² × 31¹ × 43¹ × 53¹
LCM(91140,91160) = 415416120