What is the Least Common Multiple of 11944 and 11958?

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 11944 and 11958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11944 and 11958, than apply into the LCM equation.

GCF(11944,11958) = 2
LCM(11944,11958) = ( 11944 × 11958) / 2
LCM(11944,11958) = 142826352 / 2
LCM(11944,11958) = 71413176

Least Common Multiple (LCM) of 11944 and 11958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11944 and 11958. First we will calculate the prime factors of 11944 and 11958.

Prime Factorization of 11944

Prime Factorization of 11958

Now multiplying the highest exponent prime factors to calculate the LCM of 11944 and 11958.

LCM(11944,11958) = 2³ × 1493¹ × 3¹ × 1993¹
LCM(11944,11958) = 71413176