What is the Least Common Multiple of 89252 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 89252 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 89252 and 89257, than apply into the LCM equation.

GCF(89252,89257) = 1
LCM(89252,89257) = ( 89252 × 89257) / 1
LCM(89252,89257) = 7966365764 / 1
LCM(89252,89257) = 7966365764

Least Common Multiple (LCM) of 89252 and 89257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89252 and 89257. First we will calculate the prime factors of 89252 and 89257.

Prime Factorization of 89252

Prime Factorization of 89257

Now multiplying the highest exponent prime factors to calculate the LCM of 89252 and 89257.

LCM(89252,89257) = 2² × 53¹ × 421¹ × 7¹ × 41¹ × 311¹
LCM(89252,89257) = 7966365764