What is the Least Common Multiple of 33820 and 33836?

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 33836 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 33836, than apply into the LCM equation.

GCF(33820,33836) = 4
LCM(33820,33836) = ( 33820 × 33836) / 4
LCM(33820,33836) = 1144333520 / 4
LCM(33820,33836) = 286083380

Least Common Multiple (LCM) of 33820 and 33836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33820 and 33836. First we will calculate the prime factors of 33820 and 33836.

Prime Factorization of 33820

Prime Factorization of 33836

Now multiplying the highest exponent prime factors to calculate the LCM of 33820 and 33836.

LCM(33820,33836) = 2² × 5¹ × 19¹ × 89¹ × 11¹ × 769¹
LCM(33820,33836) = 286083380