What is the Least Common Multiple of 55590 and 55599?

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 55590 and 55599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55590 and 55599, than apply into the LCM equation.

GCF(55590,55599) = 3
LCM(55590,55599) = ( 55590 × 55599) / 3
LCM(55590,55599) = 3090748410 / 3
LCM(55590,55599) = 1030249470

Least Common Multiple (LCM) of 55590 and 55599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55590 and 55599. First we will calculate the prime factors of 55590 and 55599.

Prime Factorization of 55590

Prime Factorization of 55599

Now multiplying the highest exponent prime factors to calculate the LCM of 55590 and 55599.

LCM(55590,55599) = 2¹ × 3¹ × 5¹ × 17¹ × 109¹ × 43¹ × 431¹
LCM(55590,55599) = 1030249470