What is the Least Common Multiple of 53540 and 53559?

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 53559 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 53559, than apply into the LCM equation.

GCF(53540,53559) = 1
LCM(53540,53559) = ( 53540 × 53559) / 1
LCM(53540,53559) = 2867548860 / 1
LCM(53540,53559) = 2867548860

Least Common Multiple (LCM) of 53540 and 53559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53540 and 53559. First we will calculate the prime factors of 53540 and 53559.

Prime Factorization of 53540

Prime Factorization of 53559

Now multiplying the highest exponent prime factors to calculate the LCM of 53540 and 53559.

LCM(53540,53559) = 2² × 5¹ × 2677¹ × 3² × 11¹ × 541¹
LCM(53540,53559) = 2867548860