What is the Least Common Multiple of 78825 and 78845?

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 78825 and 78845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78825 and 78845, than apply into the LCM equation.

GCF(78825,78845) = 5
LCM(78825,78845) = ( 78825 × 78845) / 5
LCM(78825,78845) = 6214957125 / 5
LCM(78825,78845) = 1242991425

Least Common Multiple (LCM) of 78825 and 78845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78825 and 78845. First we will calculate the prime factors of 78825 and 78845.

Prime Factorization of 78825

Prime Factorization of 78845

Now multiplying the highest exponent prime factors to calculate the LCM of 78825 and 78845.

LCM(78825,78845) = 3¹ × 5² × 1051¹ × 13¹ × 1213¹
LCM(78825,78845) = 1242991425