What is the Least Common Multiple of 5802 and 5814?

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 5802 and 5814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5802 and 5814, than apply into the LCM equation.

GCF(5802,5814) = 6
LCM(5802,5814) = ( 5802 × 5814) / 6
LCM(5802,5814) = 33732828 / 6
LCM(5802,5814) = 5622138

Least Common Multiple (LCM) of 5802 and 5814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5802 and 5814. First we will calculate the prime factors of 5802 and 5814.

Prime Factorization of 5802

Prime Factorization of 5814

Now multiplying the highest exponent prime factors to calculate the LCM of 5802 and 5814.

LCM(5802,5814) = 2¹ × 3² × 967¹ × 17¹ × 19¹
LCM(5802,5814) = 5622138