What is the Least Common Multiple of 91290 and 91296?

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 91290 and 91296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91290 and 91296, than apply into the LCM equation.

GCF(91290,91296) = 6
LCM(91290,91296) = ( 91290 × 91296) / 6
LCM(91290,91296) = 8334411840 / 6
LCM(91290,91296) = 1389068640

Least Common Multiple (LCM) of 91290 and 91296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91290 and 91296. First we will calculate the prime factors of 91290 and 91296.

Prime Factorization of 91290

Prime Factorization of 91296

Now multiplying the highest exponent prime factors to calculate the LCM of 91290 and 91296.

LCM(91290,91296) = 2⁵ × 3² × 5¹ × 17¹ × 179¹ × 317¹
LCM(91290,91296) = 1389068640