What is the Least Common Multiple of 11748 and 11758?

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 11748 and 11758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11748 and 11758, than apply into the LCM equation.

GCF(11748,11758) = 2
LCM(11748,11758) = ( 11748 × 11758) / 2
LCM(11748,11758) = 138132984 / 2
LCM(11748,11758) = 69066492

Least Common Multiple (LCM) of 11748 and 11758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11748 and 11758. First we will calculate the prime factors of 11748 and 11758.

Prime Factorization of 11748

Prime Factorization of 11758

Now multiplying the highest exponent prime factors to calculate the LCM of 11748 and 11758.

LCM(11748,11758) = 2² × 3¹ × 11¹ × 89¹ × 5879¹
LCM(11748,11758) = 69066492