What is the Least Common Multiple of 55407 and 55419?

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 55419 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 55419, than apply into the LCM equation.

GCF(55407,55419) = 3
LCM(55407,55419) = ( 55407 × 55419) / 3
LCM(55407,55419) = 3070600533 / 3
LCM(55407,55419) = 1023533511

Least Common Multiple (LCM) of 55407 and 55419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55407 and 55419. First we will calculate the prime factors of 55407 and 55419.

Prime Factorization of 55407

Prime Factorization of 55419

Now multiplying the highest exponent prime factors to calculate the LCM of 55407 and 55419.

LCM(55407,55419) = 3¹ × 11¹ × 23¹ × 73¹ × 7² × 13¹ × 29¹
LCM(55407,55419) = 1023533511