What is the Least Common Multiple of 93249 and 93257?

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 93249 and 93257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93249 and 93257, than apply into the LCM equation.

GCF(93249,93257) = 1
LCM(93249,93257) = ( 93249 × 93257) / 1
LCM(93249,93257) = 8696121993 / 1
LCM(93249,93257) = 8696121993

Least Common Multiple (LCM) of 93249 and 93257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93249 and 93257. First we will calculate the prime factors of 93249 and 93257.

Prime Factorization of 93249

Prime Factorization of 93257

Now multiplying the highest exponent prime factors to calculate the LCM of 93249 and 93257.

LCM(93249,93257) = 3² × 13¹ × 797¹ × 93257¹
LCM(93249,93257) = 8696121993