What is the Least Common Multiple of 33549 and 33560?

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 33549 and 33560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33549 and 33560, than apply into the LCM equation.

GCF(33549,33560) = 1
LCM(33549,33560) = ( 33549 × 33560) / 1
LCM(33549,33560) = 1125904440 / 1
LCM(33549,33560) = 1125904440

Least Common Multiple (LCM) of 33549 and 33560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33549 and 33560. First we will calculate the prime factors of 33549 and 33560.

Prime Factorization of 33549

Prime Factorization of 33560

Now multiplying the highest exponent prime factors to calculate the LCM of 33549 and 33560.

LCM(33549,33560) = 3¹ × 53¹ × 211¹ × 2³ × 5¹ × 839¹
LCM(33549,33560) = 1125904440