What is the Least Common Multiple of 11718 and 11734?

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 11718 and 11734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11718 and 11734, than apply into the LCM equation.

GCF(11718,11734) = 2
LCM(11718,11734) = ( 11718 × 11734) / 2
LCM(11718,11734) = 137499012 / 2
LCM(11718,11734) = 68749506

Least Common Multiple (LCM) of 11718 and 11734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11718 and 11734. First we will calculate the prime factors of 11718 and 11734.

Prime Factorization of 11718

Prime Factorization of 11734

Now multiplying the highest exponent prime factors to calculate the LCM of 11718 and 11734.

LCM(11718,11734) = 2¹ × 3³ × 7¹ × 31¹ × 5867¹
LCM(11718,11734) = 68749506