What is the Least Common Multiple of 33380 and 33400?

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 33380 and 33400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33380 and 33400, than apply into the LCM equation.

GCF(33380,33400) = 20
LCM(33380,33400) = ( 33380 × 33400) / 20
LCM(33380,33400) = 1114892000 / 20
LCM(33380,33400) = 55744600

Least Common Multiple (LCM) of 33380 and 33400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33380 and 33400. First we will calculate the prime factors of 33380 and 33400.

Prime Factorization of 33380

Prime Factorization of 33400

Now multiplying the highest exponent prime factors to calculate the LCM of 33380 and 33400.

LCM(33380,33400) = 2³ × 5² × 1669¹ × 167¹
LCM(33380,33400) = 55744600