What is the Least Common Multiple of 81540 and 81544?

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 81540 and 81544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81540 and 81544, than apply into the LCM equation.

GCF(81540,81544) = 4
LCM(81540,81544) = ( 81540 × 81544) / 4
LCM(81540,81544) = 6649097760 / 4
LCM(81540,81544) = 1662274440

Least Common Multiple (LCM) of 81540 and 81544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81540 and 81544. First we will calculate the prime factors of 81540 and 81544.

Prime Factorization of 81540

Prime Factorization of 81544

Now multiplying the highest exponent prime factors to calculate the LCM of 81540 and 81544.

LCM(81540,81544) = 2³ × 3³ × 5¹ × 151¹ × 10193¹
LCM(81540,81544) = 1662274440