What is the Least Common Multiple of 5720 and 5725?

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 5720 and 5725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5720 and 5725, than apply into the LCM equation.

GCF(5720,5725) = 5
LCM(5720,5725) = ( 5720 × 5725) / 5
LCM(5720,5725) = 32747000 / 5
LCM(5720,5725) = 6549400

Least Common Multiple (LCM) of 5720 and 5725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5720 and 5725. First we will calculate the prime factors of 5720 and 5725.

Prime Factorization of 5720

Prime Factorization of 5725

Now multiplying the highest exponent prime factors to calculate the LCM of 5720 and 5725.

LCM(5720,5725) = 2³ × 5² × 11¹ × 13¹ × 229¹
LCM(5720,5725) = 6549400