What is the Least Common Multiple of 81075 and 81090?

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 81075 and 81090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81075 and 81090, than apply into the LCM equation.

GCF(81075,81090) = 15
LCM(81075,81090) = ( 81075 × 81090) / 15
LCM(81075,81090) = 6574371750 / 15
LCM(81075,81090) = 438291450

Least Common Multiple (LCM) of 81075 and 81090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81075 and 81090. First we will calculate the prime factors of 81075 and 81090.

Prime Factorization of 81075

Prime Factorization of 81090

Now multiplying the highest exponent prime factors to calculate the LCM of 81075 and 81090.

LCM(81075,81090) = 3² × 5² × 23¹ × 47¹ × 2¹ × 17¹ × 53¹
LCM(81075,81090) = 438291450