What is the Least Common Multiple of 81330 and 81345?

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 81330 and 81345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81330 and 81345, than apply into the LCM equation.

GCF(81330,81345) = 15
LCM(81330,81345) = ( 81330 × 81345) / 15
LCM(81330,81345) = 6615788850 / 15
LCM(81330,81345) = 441052590

Least Common Multiple (LCM) of 81330 and 81345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81330 and 81345. First we will calculate the prime factors of 81330 and 81345.

Prime Factorization of 81330

Prime Factorization of 81345

Now multiplying the highest exponent prime factors to calculate the LCM of 81330 and 81345.

LCM(81330,81345) = 2¹ × 3¹ × 5¹ × 2711¹ × 11¹ × 17¹ × 29¹
LCM(81330,81345) = 441052590