What is the Least Common Multiple of 78636 and 78643?

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 78636 and 78643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78636 and 78643, than apply into the LCM equation.

GCF(78636,78643) = 1
LCM(78636,78643) = ( 78636 × 78643) / 1
LCM(78636,78643) = 6184170948 / 1
LCM(78636,78643) = 6184170948

Least Common Multiple (LCM) of 78636 and 78643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78636 and 78643. First we will calculate the prime factors of 78636 and 78643.

Prime Factorization of 78636

Prime Factorization of 78643

Now multiplying the highest exponent prime factors to calculate the LCM of 78636 and 78643.

LCM(78636,78643) = 2² × 3¹ × 6553¹ × 78643¹
LCM(78636,78643) = 6184170948