What is the Least Common Multiple of 89221 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 89221 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 89221 and 89238, than apply into the LCM equation.

GCF(89221,89238) = 1
LCM(89221,89238) = ( 89221 × 89238) / 1
LCM(89221,89238) = 7961903598 / 1
LCM(89221,89238) = 7961903598

Least Common Multiple (LCM) of 89221 and 89238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89221 and 89238. First we will calculate the prime factors of 89221 and 89238.

Prime Factorization of 89221

Prime Factorization of 89238

Now multiplying the highest exponent prime factors to calculate the LCM of 89221 and 89238.

LCM(89221,89238) = 11¹ × 8111¹ × 2¹ × 3¹ × 107¹ × 139¹
LCM(89221,89238) = 7961903598