What is the Least Common Multiple of 81240 and 81249?

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 81240 and 81249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81240 and 81249, than apply into the LCM equation.

GCF(81240,81249) = 3
LCM(81240,81249) = ( 81240 × 81249) / 3
LCM(81240,81249) = 6600668760 / 3
LCM(81240,81249) = 2200222920

Least Common Multiple (LCM) of 81240 and 81249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81240 and 81249. First we will calculate the prime factors of 81240 and 81249.

Prime Factorization of 81240

Prime Factorization of 81249

Now multiplying the highest exponent prime factors to calculate the LCM of 81240 and 81249.

LCM(81240,81249) = 2³ × 3¹ × 5¹ × 677¹ × 7¹ × 53¹ × 73¹
LCM(81240,81249) = 2200222920