What is the Least Common Multiple of 55419 and 55432?

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 55419 and 55432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55419 and 55432, than apply into the LCM equation.

GCF(55419,55432) = 13
LCM(55419,55432) = ( 55419 × 55432) / 13
LCM(55419,55432) = 3071986008 / 13
LCM(55419,55432) = 236306616

Least Common Multiple (LCM) of 55419 and 55432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55419 and 55432. First we will calculate the prime factors of 55419 and 55432.

Prime Factorization of 55419

Prime Factorization of 55432

Now multiplying the highest exponent prime factors to calculate the LCM of 55419 and 55432.

LCM(55419,55432) = 3¹ × 7² × 13² × 29¹ × 2³ × 41¹
LCM(55419,55432) = 236306616