What is the Least Common Multiple of 10725 and 10734?

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 10725 and 10734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10725 and 10734, than apply into the LCM equation.

GCF(10725,10734) = 3
LCM(10725,10734) = ( 10725 × 10734) / 3
LCM(10725,10734) = 115122150 / 3
LCM(10725,10734) = 38374050

Least Common Multiple (LCM) of 10725 and 10734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10725 and 10734. First we will calculate the prime factors of 10725 and 10734.

Prime Factorization of 10725

Prime Factorization of 10734

Now multiplying the highest exponent prime factors to calculate the LCM of 10725 and 10734.

LCM(10725,10734) = 3¹ × 5² × 11¹ × 13¹ × 2¹ × 1789¹
LCM(10725,10734) = 38374050