What is the Least Common Multiple of 11696 and 11701?

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 11701 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 11701, than apply into the LCM equation.

GCF(11696,11701) = 1
LCM(11696,11701) = ( 11696 × 11701) / 1
LCM(11696,11701) = 136854896 / 1
LCM(11696,11701) = 136854896

Least Common Multiple (LCM) of 11696 and 11701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11696 and 11701. First we will calculate the prime factors of 11696 and 11701.

Prime Factorization of 11696

Prime Factorization of 11701

Now multiplying the highest exponent prime factors to calculate the LCM of 11696 and 11701.

LCM(11696,11701) = 2⁴ × 17¹ × 43¹ × 11701¹
LCM(11696,11701) = 136854896