What is the Least Common Multiple of 55411 and 55418?

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 55411 and 55418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55411 and 55418, than apply into the LCM equation.

GCF(55411,55418) = 1
LCM(55411,55418) = ( 55411 × 55418) / 1
LCM(55411,55418) = 3070766798 / 1
LCM(55411,55418) = 3070766798

Least Common Multiple (LCM) of 55411 and 55418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55411 and 55418. First we will calculate the prime factors of 55411 and 55418.

Prime Factorization of 55411

Prime Factorization of 55418

Now multiplying the highest exponent prime factors to calculate the LCM of 55411 and 55418.

LCM(55411,55418) = 55411¹ × 2¹ × 11² × 229¹
LCM(55411,55418) = 3070766798