What is the Least Common Multiple of 11738 and 11744?

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 11738 and 11744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11738 and 11744, than apply into the LCM equation.

GCF(11738,11744) = 2
LCM(11738,11744) = ( 11738 × 11744) / 2
LCM(11738,11744) = 137851072 / 2
LCM(11738,11744) = 68925536

Least Common Multiple (LCM) of 11738 and 11744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11738 and 11744. First we will calculate the prime factors of 11738 and 11744.

Prime Factorization of 11738

Prime Factorization of 11744

Now multiplying the highest exponent prime factors to calculate the LCM of 11738 and 11744.

LCM(11738,11744) = 2⁵ × 5869¹ × 367¹
LCM(11738,11744) = 68925536