What is the Least Common Multiple of 81432 and 81450?

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 81432 and 81450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81432 and 81450, than apply into the LCM equation.

GCF(81432,81450) = 18
LCM(81432,81450) = ( 81432 × 81450) / 18
LCM(81432,81450) = 6632636400 / 18
LCM(81432,81450) = 368479800

Least Common Multiple (LCM) of 81432 and 81450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81432 and 81450. First we will calculate the prime factors of 81432 and 81450.

Prime Factorization of 81432

Prime Factorization of 81450

Now multiplying the highest exponent prime factors to calculate the LCM of 81432 and 81450.

LCM(81432,81450) = 2³ × 3³ × 13¹ × 29¹ × 5² × 181¹
LCM(81432,81450) = 368479800