What is the Least Common Multiple of 55509 and 55513?

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 55509 and 55513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55509 and 55513, than apply into the LCM equation.

GCF(55509,55513) = 1
LCM(55509,55513) = ( 55509 × 55513) / 1
LCM(55509,55513) = 3081471117 / 1
LCM(55509,55513) = 3081471117

Least Common Multiple (LCM) of 55509 and 55513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55509 and 55513. First we will calculate the prime factors of 55509 and 55513.

Prime Factorization of 55509

Prime Factorization of 55513

Now multiplying the highest exponent prime factors to calculate the LCM of 55509 and 55513.

LCM(55509,55513) = 3¹ × 18503¹ × 43¹ × 1291¹
LCM(55509,55513) = 3081471117