What is the Least Common Multiple of 91440 and 91449?

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 91449 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 91449, than apply into the LCM equation.

GCF(91440,91449) = 9
LCM(91440,91449) = ( 91440 × 91449) / 9
LCM(91440,91449) = 8362096560 / 9
LCM(91440,91449) = 929121840

Least Common Multiple (LCM) of 91440 and 91449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91440 and 91449. First we will calculate the prime factors of 91440 and 91449.

Prime Factorization of 91440

Prime Factorization of 91449

Now multiplying the highest exponent prime factors to calculate the LCM of 91440 and 91449.

LCM(91440,91449) = 2⁴ × 3⁴ × 5¹ × 127¹ × 1129¹
LCM(91440,91449) = 929121840