What is the Least Common Multiple of 5812 and 5830?

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 5812 and 5830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5812 and 5830, than apply into the LCM equation.

GCF(5812,5830) = 2
LCM(5812,5830) = ( 5812 × 5830) / 2
LCM(5812,5830) = 33883960 / 2
LCM(5812,5830) = 16941980

Least Common Multiple (LCM) of 5812 and 5830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5812 and 5830. First we will calculate the prime factors of 5812 and 5830.

Prime Factorization of 5812

Prime Factorization of 5830

Now multiplying the highest exponent prime factors to calculate the LCM of 5812 and 5830.

LCM(5812,5830) = 2² × 1453¹ × 5¹ × 11¹ × 53¹
LCM(5812,5830) = 16941980