What is the Least Common Multiple of 81450 and 81467?

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 81450 and 81467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81450 and 81467, than apply into the LCM equation.

GCF(81450,81467) = 1
LCM(81450,81467) = ( 81450 × 81467) / 1
LCM(81450,81467) = 6635487150 / 1
LCM(81450,81467) = 6635487150

Least Common Multiple (LCM) of 81450 and 81467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81450 and 81467. First we will calculate the prime factors of 81450 and 81467.

Prime Factorization of 81450

Prime Factorization of 81467

Now multiplying the highest exponent prime factors to calculate the LCM of 81450 and 81467.

LCM(81450,81467) = 2¹ × 3² × 5² × 181¹ × 41¹ × 1987¹
LCM(81450,81467) = 6635487150