What is the Least Common Multiple of 11735 and 11740?

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 11735 and 11740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11735 and 11740, than apply into the LCM equation.

GCF(11735,11740) = 5
LCM(11735,11740) = ( 11735 × 11740) / 5
LCM(11735,11740) = 137768900 / 5
LCM(11735,11740) = 27553780

Least Common Multiple (LCM) of 11735 and 11740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11735 and 11740. First we will calculate the prime factors of 11735 and 11740.

Prime Factorization of 11735

Prime Factorization of 11740

Now multiplying the highest exponent prime factors to calculate the LCM of 11735 and 11740.

LCM(11735,11740) = 5¹ × 2347¹ × 2² × 587¹
LCM(11735,11740) = 27553780