What is the Least Common Multiple of 10686 and 10700?

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 10686 and 10700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10686 and 10700, than apply into the LCM equation.

GCF(10686,10700) = 2
LCM(10686,10700) = ( 10686 × 10700) / 2
LCM(10686,10700) = 114340200 / 2
LCM(10686,10700) = 57170100

Least Common Multiple (LCM) of 10686 and 10700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10686 and 10700. First we will calculate the prime factors of 10686 and 10700.

Prime Factorization of 10686

Prime Factorization of 10700

Now multiplying the highest exponent prime factors to calculate the LCM of 10686 and 10700.

LCM(10686,10700) = 2² × 3¹ × 13¹ × 137¹ × 5² × 107¹
LCM(10686,10700) = 57170100