What is the Least Common Multiple of 5684 and 5704?

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 5684 and 5704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5684 and 5704, than apply into the LCM equation.

GCF(5684,5704) = 4
LCM(5684,5704) = ( 5684 × 5704) / 4
LCM(5684,5704) = 32421536 / 4
LCM(5684,5704) = 8105384

Least Common Multiple (LCM) of 5684 and 5704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5684 and 5704. First we will calculate the prime factors of 5684 and 5704.

Prime Factorization of 5684

Prime Factorization of 5704

Now multiplying the highest exponent prime factors to calculate the LCM of 5684 and 5704.

LCM(5684,5704) = 2³ × 7² × 29¹ × 23¹ × 31¹
LCM(5684,5704) = 8105384