What is the Least Common Multiple of 55390 and 55399?

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 55390 and 55399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55390 and 55399, than apply into the LCM equation.

GCF(55390,55399) = 1
LCM(55390,55399) = ( 55390 × 55399) / 1
LCM(55390,55399) = 3068550610 / 1
LCM(55390,55399) = 3068550610

Least Common Multiple (LCM) of 55390 and 55399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55390 and 55399. First we will calculate the prime factors of 55390 and 55399.

Prime Factorization of 55390

Prime Factorization of 55399

Now multiplying the highest exponent prime factors to calculate the LCM of 55390 and 55399.

LCM(55390,55399) = 2¹ × 5¹ × 29¹ × 191¹ × 55399¹
LCM(55390,55399) = 3068550610