What is the Least Common Multiple of 10734 and 10746?

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 10746 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 10746, than apply into the LCM equation.

GCF(10734,10746) = 6
LCM(10734,10746) = ( 10734 × 10746) / 6
LCM(10734,10746) = 115347564 / 6
LCM(10734,10746) = 19224594

Least Common Multiple (LCM) of 10734 and 10746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10734 and 10746. First we will calculate the prime factors of 10734 and 10746.

Prime Factorization of 10734

Prime Factorization of 10746

Now multiplying the highest exponent prime factors to calculate the LCM of 10734 and 10746.

LCM(10734,10746) = 2¹ × 3³ × 1789¹ × 199¹
LCM(10734,10746) = 19224594