What is the Least Common Multiple of 81267 and 81276?

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 81267 and 81276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81267 and 81276, than apply into the LCM equation.

GCF(81267,81276) = 3
LCM(81267,81276) = ( 81267 × 81276) / 3
LCM(81267,81276) = 6605056692 / 3
LCM(81267,81276) = 2201685564

Least Common Multiple (LCM) of 81267 and 81276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81267 and 81276. First we will calculate the prime factors of 81267 and 81276.

Prime Factorization of 81267

Prime Factorization of 81276

Now multiplying the highest exponent prime factors to calculate the LCM of 81267 and 81276.

LCM(81267,81276) = 3¹ × 103¹ × 263¹ × 2² × 13¹ × 521¹
LCM(81267,81276) = 2201685564