What is the Least Common Multiple of 11739 and 11748?

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 11739 and 11748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11739 and 11748, than apply into the LCM equation.

GCF(11739,11748) = 3
LCM(11739,11748) = ( 11739 × 11748) / 3
LCM(11739,11748) = 137909772 / 3
LCM(11739,11748) = 45969924

Least Common Multiple (LCM) of 11739 and 11748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11739 and 11748. First we will calculate the prime factors of 11739 and 11748.

Prime Factorization of 11739

Prime Factorization of 11748

Now multiplying the highest exponent prime factors to calculate the LCM of 11739 and 11748.

LCM(11739,11748) = 3¹ × 7¹ × 13¹ × 43¹ × 2² × 11¹ × 89¹
LCM(11739,11748) = 45969924