What is the Least Common Multiple of 81372 and 81386?

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 81372 and 81386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81372 and 81386, than apply into the LCM equation.

GCF(81372,81386) = 2
LCM(81372,81386) = ( 81372 × 81386) / 2
LCM(81372,81386) = 6622541592 / 2
LCM(81372,81386) = 3311270796

Least Common Multiple (LCM) of 81372 and 81386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81372 and 81386. First we will calculate the prime factors of 81372 and 81386.

Prime Factorization of 81372

Prime Factorization of 81386

Now multiplying the highest exponent prime factors to calculate the LCM of 81372 and 81386.

LCM(81372,81386) = 2² × 3¹ × 6781¹ × 40693¹
LCM(81372,81386) = 3311270796