What is the Least Common Multiple of 89220 and 89238?

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 89220 and 89238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89220 and 89238, than apply into the LCM equation.

GCF(89220,89238) = 6
LCM(89220,89238) = ( 89220 × 89238) / 6
LCM(89220,89238) = 7961814360 / 6
LCM(89220,89238) = 1326969060

Least Common Multiple (LCM) of 89220 and 89238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89220 and 89238. First we will calculate the prime factors of 89220 and 89238.

Prime Factorization of 89220

Prime Factorization of 89238

Now multiplying the highest exponent prime factors to calculate the LCM of 89220 and 89238.

LCM(89220,89238) = 2² × 3¹ × 5¹ × 1487¹ × 107¹ × 139¹
LCM(89220,89238) = 1326969060