What is the Least Common Multiple of 54540 and 54545?

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 54545 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 54545, than apply into the LCM equation.

GCF(54540,54545) = 5
LCM(54540,54545) = ( 54540 × 54545) / 5
LCM(54540,54545) = 2974884300 / 5
LCM(54540,54545) = 594976860

Least Common Multiple (LCM) of 54540 and 54545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54540 and 54545. First we will calculate the prime factors of 54540 and 54545.

Prime Factorization of 54540

Prime Factorization of 54545

Now multiplying the highest exponent prime factors to calculate the LCM of 54540 and 54545.

LCM(54540,54545) = 2² × 3³ × 5¹ × 101¹ × 10909¹
LCM(54540,54545) = 594976860