What is the Least Common Multiple of 33548 and 33567?

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 33548 and 33567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33548 and 33567, than apply into the LCM equation.

GCF(33548,33567) = 1
LCM(33548,33567) = ( 33548 × 33567) / 1
LCM(33548,33567) = 1126105716 / 1
LCM(33548,33567) = 1126105716

Least Common Multiple (LCM) of 33548 and 33567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33548 and 33567. First we will calculate the prime factors of 33548 and 33567.

Prime Factorization of 33548

Prime Factorization of 33567

Now multiplying the highest exponent prime factors to calculate the LCM of 33548 and 33567.

LCM(33548,33567) = 2² × 8387¹ × 3¹ × 67¹ × 167¹
LCM(33548,33567) = 1126105716