What is the Least Common Multiple of 23518 and 23529?

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 23518 and 23529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23518 and 23529, than apply into the LCM equation.

GCF(23518,23529) = 11
LCM(23518,23529) = ( 23518 × 23529) / 11
LCM(23518,23529) = 553355022 / 11
LCM(23518,23529) = 50305002

Least Common Multiple (LCM) of 23518 and 23529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23518 and 23529. First we will calculate the prime factors of 23518 and 23529.

Prime Factorization of 23518

Prime Factorization of 23529

Now multiplying the highest exponent prime factors to calculate the LCM of 23518 and 23529.

LCM(23518,23529) = 2¹ × 11¹ × 1069¹ × 3¹ × 23¹ × 31¹
LCM(23518,23529) = 50305002