What is the Least Common Multiple of 5735 and 5740?

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 5735 and 5740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5735 and 5740, than apply into the LCM equation.

GCF(5735,5740) = 5
LCM(5735,5740) = ( 5735 × 5740) / 5
LCM(5735,5740) = 32918900 / 5
LCM(5735,5740) = 6583780

Least Common Multiple (LCM) of 5735 and 5740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5735 and 5740. First we will calculate the prime factors of 5735 and 5740.

Prime Factorization of 5735

Prime Factorization of 5740

Now multiplying the highest exponent prime factors to calculate the LCM of 5735 and 5740.

LCM(5735,5740) = 5¹ × 31¹ × 37¹ × 2² × 7¹ × 41¹
LCM(5735,5740) = 6583780