What is the Least Common Multiple of 89251 and 89257?

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 89251 and 89257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89251 and 89257, than apply into the LCM equation.

GCF(89251,89257) = 1
LCM(89251,89257) = ( 89251 × 89257) / 1
LCM(89251,89257) = 7966276507 / 1
LCM(89251,89257) = 7966276507

Least Common Multiple (LCM) of 89251 and 89257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89251 and 89257. First we will calculate the prime factors of 89251 and 89257.

Prime Factorization of 89251

Prime Factorization of 89257

Now multiplying the highest exponent prime factors to calculate the LCM of 89251 and 89257.

LCM(89251,89257) = 149¹ × 599¹ × 7¹ × 41¹ × 311¹
LCM(89251,89257) = 7966276507