What is the Least Common Multiple of 91448 and 91454?

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 91448 and 91454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91448 and 91454, than apply into the LCM equation.

GCF(91448,91454) = 2
LCM(91448,91454) = ( 91448 × 91454) / 2
LCM(91448,91454) = 8363285392 / 2
LCM(91448,91454) = 4181642696

Least Common Multiple (LCM) of 91448 and 91454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91448 and 91454. First we will calculate the prime factors of 91448 and 91454.

Prime Factorization of 91448

Prime Factorization of 91454

Now multiplying the highest exponent prime factors to calculate the LCM of 91448 and 91454.

LCM(91448,91454) = 2³ × 7¹ × 23¹ × 71¹ × 11¹ × 4157¹
LCM(91448,91454) = 4181642696