What is the Least Common Multiple of 5714 and 5733?

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 5714 and 5733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5714 and 5733, than apply into the LCM equation.

GCF(5714,5733) = 1
LCM(5714,5733) = ( 5714 × 5733) / 1
LCM(5714,5733) = 32758362 / 1
LCM(5714,5733) = 32758362

Least Common Multiple (LCM) of 5714 and 5733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5714 and 5733. First we will calculate the prime factors of 5714 and 5733.

Prime Factorization of 5714

Prime Factorization of 5733

Now multiplying the highest exponent prime factors to calculate the LCM of 5714 and 5733.

LCM(5714,5733) = 2¹ × 2857¹ × 3² × 7² × 13¹
LCM(5714,5733) = 32758362