What is the Least Common Multiple of 54549 and 54559?

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 54549 and 54559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54549 and 54559, than apply into the LCM equation.

GCF(54549,54559) = 1
LCM(54549,54559) = ( 54549 × 54559) / 1
LCM(54549,54559) = 2976138891 / 1
LCM(54549,54559) = 2976138891

Least Common Multiple (LCM) of 54549 and 54559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54549 and 54559. First we will calculate the prime factors of 54549 and 54559.

Prime Factorization of 54549

Prime Factorization of 54559

Now multiplying the highest exponent prime factors to calculate the LCM of 54549 and 54559.

LCM(54549,54559) = 3² × 11¹ × 19¹ × 29¹ × 54559¹
LCM(54549,54559) = 2976138891