What is the Least Common Multiple of 89257 and 89273?

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 89273 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 89273, than apply into the LCM equation.

GCF(89257,89273) = 1
LCM(89257,89273) = ( 89257 × 89273) / 1
LCM(89257,89273) = 7968240161 / 1
LCM(89257,89273) = 7968240161

Least Common Multiple (LCM) of 89257 and 89273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89257 and 89273. First we will calculate the prime factors of 89257 and 89273.

Prime Factorization of 89257

Prime Factorization of 89273

Now multiplying the highest exponent prime factors to calculate the LCM of 89257 and 89273.

LCM(89257,89273) = 7¹ × 41¹ × 311¹ × 89273¹
LCM(89257,89273) = 7968240161