What is the Least Common Multiple of 89824 and 89836?

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 89824 and 89836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89824 and 89836, than apply into the LCM equation.

GCF(89824,89836) = 4
LCM(89824,89836) = ( 89824 × 89836) / 4
LCM(89824,89836) = 8069428864 / 4
LCM(89824,89836) = 2017357216

Least Common Multiple (LCM) of 89824 and 89836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89824 and 89836. First we will calculate the prime factors of 89824 and 89836.

Prime Factorization of 89824

Prime Factorization of 89836

Now multiplying the highest exponent prime factors to calculate the LCM of 89824 and 89836.

LCM(89824,89836) = 2⁵ × 7¹ × 401¹ × 37¹ × 607¹
LCM(89824,89836) = 2017357216