What is the Least Common Multiple of 5702 and 5720?

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 5702 and 5720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5702 and 5720, than apply into the LCM equation.

GCF(5702,5720) = 2
LCM(5702,5720) = ( 5702 × 5720) / 2
LCM(5702,5720) = 32615440 / 2
LCM(5702,5720) = 16307720

Least Common Multiple (LCM) of 5702 and 5720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5702 and 5720. First we will calculate the prime factors of 5702 and 5720.

Prime Factorization of 5702

Prime Factorization of 5720

Now multiplying the highest exponent prime factors to calculate the LCM of 5702 and 5720.

LCM(5702,5720) = 2³ × 2851¹ × 5¹ × 11¹ × 13¹
LCM(5702,5720) = 16307720