What is the Least Common Multiple of 89784 and 89792?

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 89784 and 89792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89784 and 89792, than apply into the LCM equation.

GCF(89784,89792) = 8
LCM(89784,89792) = ( 89784 × 89792) / 8
LCM(89784,89792) = 8061884928 / 8
LCM(89784,89792) = 1007735616

Least Common Multiple (LCM) of 89784 and 89792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89784 and 89792. First we will calculate the prime factors of 89784 and 89792.

Prime Factorization of 89784

Prime Factorization of 89792

Now multiplying the highest exponent prime factors to calculate the LCM of 89784 and 89792.

LCM(89784,89792) = 2⁶ × 3² × 29¹ × 43¹ × 23¹ × 61¹
LCM(89784,89792) = 1007735616