What is the Least Common Multiple of 11729 and 11747?

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 11729 and 11747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11729 and 11747, than apply into the LCM equation.

GCF(11729,11747) = 1
LCM(11729,11747) = ( 11729 × 11747) / 1
LCM(11729,11747) = 137780563 / 1
LCM(11729,11747) = 137780563

Least Common Multiple (LCM) of 11729 and 11747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11729 and 11747. First we will calculate the prime factors of 11729 and 11747.

Prime Factorization of 11729

Prime Factorization of 11747

Now multiplying the highest exponent prime factors to calculate the LCM of 11729 and 11747.

LCM(11729,11747) = 37¹ × 317¹ × 17¹ × 691¹
LCM(11729,11747) = 137780563