What is the Least Common Multiple of 10750 and 10770?

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 10750 and 10770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10750 and 10770, than apply into the LCM equation.

GCF(10750,10770) = 10
LCM(10750,10770) = ( 10750 × 10770) / 10
LCM(10750,10770) = 115777500 / 10
LCM(10750,10770) = 11577750

Least Common Multiple (LCM) of 10750 and 10770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10750 and 10770. First we will calculate the prime factors of 10750 and 10770.

Prime Factorization of 10750

Prime Factorization of 10770

Now multiplying the highest exponent prime factors to calculate the LCM of 10750 and 10770.

LCM(10750,10770) = 2¹ × 5³ × 43¹ × 3¹ × 359¹
LCM(10750,10770) = 11577750