What is the Least Common Multiple of 53540 and 53549?

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 53540 and 53549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53540 and 53549, than apply into the LCM equation.

GCF(53540,53549) = 1
LCM(53540,53549) = ( 53540 × 53549) / 1
LCM(53540,53549) = 2867013460 / 1
LCM(53540,53549) = 2867013460

Least Common Multiple (LCM) of 53540 and 53549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53540 and 53549. First we will calculate the prime factors of 53540 and 53549.

Prime Factorization of 53540

Prime Factorization of 53549

Now multiplying the highest exponent prime factors to calculate the LCM of 53540 and 53549.

LCM(53540,53549) = 2² × 5¹ × 2677¹ × 53549¹
LCM(53540,53549) = 2867013460