What is the Least Common Multiple of 54540 and 54549?

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 54540 and 54549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54540 and 54549, than apply into the LCM equation.

GCF(54540,54549) = 9
LCM(54540,54549) = ( 54540 × 54549) / 9
LCM(54540,54549) = 2975102460 / 9
LCM(54540,54549) = 330566940

Least Common Multiple (LCM) of 54540 and 54549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54540 and 54549. First we will calculate the prime factors of 54540 and 54549.

Prime Factorization of 54540

Prime Factorization of 54549

Now multiplying the highest exponent prime factors to calculate the LCM of 54540 and 54549.

LCM(54540,54549) = 2² × 3³ × 5¹ × 101¹ × 11¹ × 19¹ × 29¹
LCM(54540,54549) = 330566940