What is the Least Common Multiple of 11744 and 11754?

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 11744 and 11754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11744 and 11754, than apply into the LCM equation.

GCF(11744,11754) = 2
LCM(11744,11754) = ( 11744 × 11754) / 2
LCM(11744,11754) = 138038976 / 2
LCM(11744,11754) = 69019488

Least Common Multiple (LCM) of 11744 and 11754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11744 and 11754. First we will calculate the prime factors of 11744 and 11754.

Prime Factorization of 11744

Prime Factorization of 11754

Now multiplying the highest exponent prime factors to calculate the LCM of 11744 and 11754.

LCM(11744,11754) = 2⁵ × 367¹ × 3² × 653¹
LCM(11744,11754) = 69019488