What is the Least Common Multiple of 10782 and 10798?

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 10782 and 10798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10782 and 10798, than apply into the LCM equation.

GCF(10782,10798) = 2
LCM(10782,10798) = ( 10782 × 10798) / 2
LCM(10782,10798) = 116424036 / 2
LCM(10782,10798) = 58212018

Least Common Multiple (LCM) of 10782 and 10798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10782 and 10798. First we will calculate the prime factors of 10782 and 10798.

Prime Factorization of 10782

Prime Factorization of 10798

Now multiplying the highest exponent prime factors to calculate the LCM of 10782 and 10798.

LCM(10782,10798) = 2¹ × 3² × 599¹ × 5399¹
LCM(10782,10798) = 58212018