What is the Least Common Multiple of 23518 and 23538?

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 23538 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 23538, than apply into the LCM equation.

GCF(23518,23538) = 2
LCM(23518,23538) = ( 23518 × 23538) / 2
LCM(23518,23538) = 553566684 / 2
LCM(23518,23538) = 276783342

Least Common Multiple (LCM) of 23518 and 23538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23518 and 23538. First we will calculate the prime factors of 23518 and 23538.

Prime Factorization of 23518

Prime Factorization of 23538

Now multiplying the highest exponent prime factors to calculate the LCM of 23518 and 23538.

LCM(23518,23538) = 2¹ × 11¹ × 1069¹ × 3¹ × 3923¹
LCM(23518,23538) = 276783342