What is the Least Common Multiple of 55407 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 55407 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 55407 and 55418, than apply into the LCM equation.

GCF(55407,55418) = 11
LCM(55407,55418) = ( 55407 × 55418) / 11
LCM(55407,55418) = 3070545126 / 11
LCM(55407,55418) = 279140466

Least Common Multiple (LCM) of 55407 and 55418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55407 and 55418. First we will calculate the prime factors of 55407 and 55418.

Prime Factorization of 55407

Prime Factorization of 55418

Now multiplying the highest exponent prime factors to calculate the LCM of 55407 and 55418.

LCM(55407,55418) = 3¹ × 11² × 23¹ × 73¹ × 2¹ × 229¹
LCM(55407,55418) = 279140466