What is the Least Common Multiple of 10725 and 10740?

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 10740 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 10740, than apply into the LCM equation.

GCF(10725,10740) = 15
LCM(10725,10740) = ( 10725 × 10740) / 15
LCM(10725,10740) = 115186500 / 15
LCM(10725,10740) = 7679100

Least Common Multiple (LCM) of 10725 and 10740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10725 and 10740. First we will calculate the prime factors of 10725 and 10740.

Prime Factorization of 10725

Prime Factorization of 10740

Now multiplying the highest exponent prime factors to calculate the LCM of 10725 and 10740.

LCM(10725,10740) = 3¹ × 5² × 11¹ × 13¹ × 2² × 179¹
LCM(10725,10740) = 7679100