What is the Least Common Multiple of 91440 and 91448?

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 91440 and 91448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91440 and 91448, than apply into the LCM equation.

GCF(91440,91448) = 8
LCM(91440,91448) = ( 91440 × 91448) / 8
LCM(91440,91448) = 8362005120 / 8
LCM(91440,91448) = 1045250640

Least Common Multiple (LCM) of 91440 and 91448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91440 and 91448. First we will calculate the prime factors of 91440 and 91448.

Prime Factorization of 91440

Prime Factorization of 91448

Now multiplying the highest exponent prime factors to calculate the LCM of 91440 and 91448.

LCM(91440,91448) = 2⁴ × 3² × 5¹ × 127¹ × 7¹ × 23¹ × 71¹
LCM(91440,91448) = 1045250640