What is the Least Common Multiple of 89772 and 89784?

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 89772 and 89784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89772 and 89784, than apply into the LCM equation.

GCF(89772,89784) = 12
LCM(89772,89784) = ( 89772 × 89784) / 12
LCM(89772,89784) = 8060089248 / 12
LCM(89772,89784) = 671674104

Least Common Multiple (LCM) of 89772 and 89784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89772 and 89784. First we will calculate the prime factors of 89772 and 89784.

Prime Factorization of 89772

Prime Factorization of 89784

Now multiplying the highest exponent prime factors to calculate the LCM of 89772 and 89784.

LCM(89772,89784) = 2³ × 3² × 7481¹ × 29¹ × 43¹
LCM(89772,89784) = 671674104