What is the Least Common Multiple of 89257 and 89271?

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 89257 and 89271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89257 and 89271, than apply into the LCM equation.

GCF(89257,89271) = 7
LCM(89257,89271) = ( 89257 × 89271) / 7
LCM(89257,89271) = 7968061647 / 7
LCM(89257,89271) = 1138294521

Least Common Multiple (LCM) of 89257 and 89271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89257 and 89271. First we will calculate the prime factors of 89257 and 89271.

Prime Factorization of 89257

Prime Factorization of 89271

Now multiplying the highest exponent prime factors to calculate the LCM of 89257 and 89271.

LCM(89257,89271) = 7¹ × 41¹ × 311¹ × 3² × 13¹ × 109¹
LCM(89257,89271) = 1138294521