What is the Least Common Multiple of 33506 and 33512?

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 33506 and 33512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33506 and 33512, than apply into the LCM equation.

GCF(33506,33512) = 2
LCM(33506,33512) = ( 33506 × 33512) / 2
LCM(33506,33512) = 1122853072 / 2
LCM(33506,33512) = 561426536

Least Common Multiple (LCM) of 33506 and 33512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33506 and 33512. First we will calculate the prime factors of 33506 and 33512.

Prime Factorization of 33506

Prime Factorization of 33512

Now multiplying the highest exponent prime factors to calculate the LCM of 33506 and 33512.

LCM(33506,33512) = 2³ × 11¹ × 1523¹ × 59¹ × 71¹
LCM(33506,33512) = 561426536