What is the Least Common Multiple of 81450 and 81465?

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 81465 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 81465, than apply into the LCM equation.

GCF(81450,81465) = 15
LCM(81450,81465) = ( 81450 × 81465) / 15
LCM(81450,81465) = 6635324250 / 15
LCM(81450,81465) = 442354950

Least Common Multiple (LCM) of 81450 and 81465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81450 and 81465. First we will calculate the prime factors of 81450 and 81465.

Prime Factorization of 81450

Prime Factorization of 81465

Now multiplying the highest exponent prime factors to calculate the LCM of 81450 and 81465.

LCM(81450,81465) = 2¹ × 3² × 5² × 181¹ × 5431¹
LCM(81450,81465) = 442354950