What is the Least Common Multiple of 2033 and 2052?

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 2033 and 2052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2033 and 2052, than apply into the LCM equation.

GCF(2033,2052) = 19
LCM(2033,2052) = ( 2033 × 2052) / 19
LCM(2033,2052) = 4171716 / 19
LCM(2033,2052) = 219564

Least Common Multiple (LCM) of 2033 and 2052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2033 and 2052. First we will calculate the prime factors of 2033 and 2052.

Prime Factorization of 2033

Prime Factorization of 2052

Now multiplying the highest exponent prime factors to calculate the LCM of 2033 and 2052.

LCM(2033,2052) = 19¹ × 107¹ × 2² × 3³
LCM(2033,2052) = 219564