What is the Least Common Multiple of 78249 and 78268?

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 78268 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 78268, than apply into the LCM equation.

GCF(78249,78268) = 1
LCM(78249,78268) = ( 78249 × 78268) / 1
LCM(78249,78268) = 6124392732 / 1
LCM(78249,78268) = 6124392732

Least Common Multiple (LCM) of 78249 and 78268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78249 and 78268. First we will calculate the prime factors of 78249 and 78268.

Prime Factorization of 78249

Prime Factorization of 78268

Now multiplying the highest exponent prime factors to calculate the LCM of 78249 and 78268.

LCM(78249,78268) = 3¹ × 26083¹ × 2² × 17¹ × 1151¹
LCM(78249,78268) = 6124392732