What is the Least Common Multiple of 1822 and 1830?

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 1822 and 1830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1822 and 1830, than apply into the LCM equation.

GCF(1822,1830) = 2
LCM(1822,1830) = ( 1822 × 1830) / 2
LCM(1822,1830) = 3334260 / 2
LCM(1822,1830) = 1667130

Least Common Multiple (LCM) of 1822 and 1830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1822 and 1830. First we will calculate the prime factors of 1822 and 1830.

Prime Factorization of 1822

Prime Factorization of 1830

Now multiplying the highest exponent prime factors to calculate the LCM of 1822 and 1830.

LCM(1822,1830) = 2¹ × 911¹ × 3¹ × 5¹ × 61¹
LCM(1822,1830) = 1667130