What is the Least Common Multiple of 78249 and 78257?

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 78249 and 78257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78249 and 78257, than apply into the LCM equation.

GCF(78249,78257) = 1
LCM(78249,78257) = ( 78249 × 78257) / 1
LCM(78249,78257) = 6123531993 / 1
LCM(78249,78257) = 6123531993

Least Common Multiple (LCM) of 78249 and 78257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78249 and 78257. First we will calculate the prime factors of 78249 and 78257.

Prime Factorization of 78249

Prime Factorization of 78257

Now multiplying the highest exponent prime factors to calculate the LCM of 78249 and 78257.

LCM(78249,78257) = 3¹ × 26083¹ × 139¹ × 563¹
LCM(78249,78257) = 6123531993