What is the Least Common Multiple of 89238 and 89244?

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 89238 and 89244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89238 and 89244, than apply into the LCM equation.

GCF(89238,89244) = 6
LCM(89238,89244) = ( 89238 × 89244) / 6
LCM(89238,89244) = 7963956072 / 6
LCM(89238,89244) = 1327326012

Least Common Multiple (LCM) of 89238 and 89244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89238 and 89244. First we will calculate the prime factors of 89238 and 89244.

Prime Factorization of 89238

Prime Factorization of 89244

Now multiplying the highest exponent prime factors to calculate the LCM of 89238 and 89244.

LCM(89238,89244) = 2² × 3² × 107¹ × 139¹ × 37¹ × 67¹
LCM(89238,89244) = 1327326012