What is the Least Common Multiple of 33548 and 33558?

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 33558 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 33558, than apply into the LCM equation.

GCF(33548,33558) = 2
LCM(33548,33558) = ( 33548 × 33558) / 2
LCM(33548,33558) = 1125803784 / 2
LCM(33548,33558) = 562901892

Least Common Multiple (LCM) of 33548 and 33558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33548 and 33558. First we will calculate the prime factors of 33548 and 33558.

Prime Factorization of 33548

Prime Factorization of 33558

Now multiplying the highest exponent prime factors to calculate the LCM of 33548 and 33558.

LCM(33548,33558) = 2² × 8387¹ × 3¹ × 7¹ × 17¹ × 47¹
LCM(33548,33558) = 562901892