What is the Least Common Multiple of 33820 and 33830?

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 33820 and 33830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33820 and 33830, than apply into the LCM equation.

GCF(33820,33830) = 10
LCM(33820,33830) = ( 33820 × 33830) / 10
LCM(33820,33830) = 1144130600 / 10
LCM(33820,33830) = 114413060

Least Common Multiple (LCM) of 33820 and 33830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33820 and 33830. First we will calculate the prime factors of 33820 and 33830.

Prime Factorization of 33820

Prime Factorization of 33830

Now multiplying the highest exponent prime factors to calculate the LCM of 33820 and 33830.

LCM(33820,33830) = 2² × 5¹ × 19¹ × 89¹ × 17¹ × 199¹
LCM(33820,33830) = 114413060