What is the Least Common Multiple of 22523 and 22538?

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 22523 and 22538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22523 and 22538, than apply into the LCM equation.

GCF(22523,22538) = 1
LCM(22523,22538) = ( 22523 × 22538) / 1
LCM(22523,22538) = 507623374 / 1
LCM(22523,22538) = 507623374

Least Common Multiple (LCM) of 22523 and 22538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22523 and 22538. First we will calculate the prime factors of 22523 and 22538.

Prime Factorization of 22523

Prime Factorization of 22538

Now multiplying the highest exponent prime factors to calculate the LCM of 22523 and 22538.

LCM(22523,22538) = 101¹ × 223¹ × 2¹ × 59¹ × 191¹
LCM(22523,22538) = 507623374