What is the Least Common Multiple of 10734 and 10749?

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 10734 and 10749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10734 and 10749, than apply into the LCM equation.

GCF(10734,10749) = 3
LCM(10734,10749) = ( 10734 × 10749) / 3
LCM(10734,10749) = 115379766 / 3
LCM(10734,10749) = 38459922

Least Common Multiple (LCM) of 10734 and 10749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10734 and 10749. First we will calculate the prime factors of 10734 and 10749.

Prime Factorization of 10734

Prime Factorization of 10749

Now multiplying the highest exponent prime factors to calculate the LCM of 10734 and 10749.

LCM(10734,10749) = 2¹ × 3¹ × 1789¹ × 3583¹
LCM(10734,10749) = 38459922