What is the Least Common Multiple of 81345 and 81350?

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 81345 and 81350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81345 and 81350, than apply into the LCM equation.

GCF(81345,81350) = 5
LCM(81345,81350) = ( 81345 × 81350) / 5
LCM(81345,81350) = 6617415750 / 5
LCM(81345,81350) = 1323483150

Least Common Multiple (LCM) of 81345 and 81350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81345 and 81350. First we will calculate the prime factors of 81345 and 81350.

Prime Factorization of 81345

Prime Factorization of 81350

Now multiplying the highest exponent prime factors to calculate the LCM of 81345 and 81350.

LCM(81345,81350) = 3¹ × 5² × 11¹ × 17¹ × 29¹ × 2¹ × 1627¹
LCM(81345,81350) = 1323483150