What is the Least Common Multiple of 15822 and 15830?

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 15822 and 15830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15822 and 15830, than apply into the LCM equation.

GCF(15822,15830) = 2
LCM(15822,15830) = ( 15822 × 15830) / 2
LCM(15822,15830) = 250462260 / 2
LCM(15822,15830) = 125231130

Least Common Multiple (LCM) of 15822 and 15830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15822 and 15830. First we will calculate the prime factors of 15822 and 15830.

Prime Factorization of 15822

Prime Factorization of 15830

Now multiplying the highest exponent prime factors to calculate the LCM of 15822 and 15830.

LCM(15822,15830) = 2¹ × 3³ × 293¹ × 5¹ × 1583¹
LCM(15822,15830) = 125231130