What is the Least Common Multiple of 10688 and 10707?

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 10688 and 10707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10688 and 10707, than apply into the LCM equation.

GCF(10688,10707) = 1
LCM(10688,10707) = ( 10688 × 10707) / 1
LCM(10688,10707) = 114436416 / 1
LCM(10688,10707) = 114436416

Least Common Multiple (LCM) of 10688 and 10707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10688 and 10707. First we will calculate the prime factors of 10688 and 10707.

Prime Factorization of 10688

Prime Factorization of 10707

Now multiplying the highest exponent prime factors to calculate the LCM of 10688 and 10707.

LCM(10688,10707) = 2⁶ × 167¹ × 3¹ × 43¹ × 83¹
LCM(10688,10707) = 114436416