What is the Least Common Multiple of 91440 and 91451?

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 91451 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 91451, than apply into the LCM equation.

GCF(91440,91451) = 1
LCM(91440,91451) = ( 91440 × 91451) / 1
LCM(91440,91451) = 8362279440 / 1
LCM(91440,91451) = 8362279440

Least Common Multiple (LCM) of 91440 and 91451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91440 and 91451. First we will calculate the prime factors of 91440 and 91451.

Prime Factorization of 91440

Prime Factorization of 91451

Now multiplying the highest exponent prime factors to calculate the LCM of 91440 and 91451.

LCM(91440,91451) = 2⁴ × 3² × 5¹ × 127¹ × 109¹ × 839¹
LCM(91440,91451) = 8362279440