What is the Least Common Multiple of 10714 and 10725?

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 10714 and 10725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10714 and 10725, than apply into the LCM equation.

GCF(10714,10725) = 11
LCM(10714,10725) = ( 10714 × 10725) / 11
LCM(10714,10725) = 114907650 / 11
LCM(10714,10725) = 10446150

Least Common Multiple (LCM) of 10714 and 10725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10714 and 10725. First we will calculate the prime factors of 10714 and 10725.

Prime Factorization of 10714

Prime Factorization of 10725

Now multiplying the highest exponent prime factors to calculate the LCM of 10714 and 10725.

LCM(10714,10725) = 2¹ × 11¹ × 487¹ × 3¹ × 5² × 13¹
LCM(10714,10725) = 10446150