What is the Least Common Multiple of 33012 and 33026?

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 33012 and 33026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33012 and 33026, than apply into the LCM equation.

GCF(33012,33026) = 14
LCM(33012,33026) = ( 33012 × 33026) / 14
LCM(33012,33026) = 1090254312 / 14
LCM(33012,33026) = 77875308

Least Common Multiple (LCM) of 33012 and 33026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33012 and 33026. First we will calculate the prime factors of 33012 and 33026.

Prime Factorization of 33012

Prime Factorization of 33026

Now multiplying the highest exponent prime factors to calculate the LCM of 33012 and 33026.

LCM(33012,33026) = 2² × 3² × 7² × 131¹ × 337¹
LCM(33012,33026) = 77875308