What is the Least Common Multiple of 91112 and 91129?

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 91112 and 91129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91112 and 91129, than apply into the LCM equation.

GCF(91112,91129) = 1
LCM(91112,91129) = ( 91112 × 91129) / 1
LCM(91112,91129) = 8302945448 / 1
LCM(91112,91129) = 8302945448

Least Common Multiple (LCM) of 91112 and 91129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91112 and 91129. First we will calculate the prime factors of 91112 and 91129.

Prime Factorization of 91112

Prime Factorization of 91129

Now multiplying the highest exponent prime factors to calculate the LCM of 91112 and 91129.

LCM(91112,91129) = 2³ × 7¹ × 1627¹ × 91129¹
LCM(91112,91129) = 8302945448