What is the Least Common Multiple of 11696 and 11707?

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 11696 and 11707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11696 and 11707, than apply into the LCM equation.

GCF(11696,11707) = 1
LCM(11696,11707) = ( 11696 × 11707) / 1
LCM(11696,11707) = 136925072 / 1
LCM(11696,11707) = 136925072

Least Common Multiple (LCM) of 11696 and 11707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11696 and 11707. First we will calculate the prime factors of 11696 and 11707.

Prime Factorization of 11696

Prime Factorization of 11707

Now multiplying the highest exponent prime factors to calculate the LCM of 11696 and 11707.

LCM(11696,11707) = 2⁴ × 17¹ × 43¹ × 23¹ × 509¹
LCM(11696,11707) = 136925072