What is the Least Common Multiple of 10770 and 10781?

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 10770 and 10781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10770 and 10781, than apply into the LCM equation.

GCF(10770,10781) = 1
LCM(10770,10781) = ( 10770 × 10781) / 1
LCM(10770,10781) = 116111370 / 1
LCM(10770,10781) = 116111370

Least Common Multiple (LCM) of 10770 and 10781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10770 and 10781. First we will calculate the prime factors of 10770 and 10781.

Prime Factorization of 10770

Prime Factorization of 10781

Now multiplying the highest exponent prime factors to calculate the LCM of 10770 and 10781.

LCM(10770,10781) = 2¹ × 3¹ × 5¹ × 359¹ × 10781¹
LCM(10770,10781) = 116111370