What is the Least Common Multiple of 22512 and 22523?

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 22512 and 22523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22512 and 22523, than apply into the LCM equation.

GCF(22512,22523) = 1
LCM(22512,22523) = ( 22512 × 22523) / 1
LCM(22512,22523) = 507037776 / 1
LCM(22512,22523) = 507037776

Least Common Multiple (LCM) of 22512 and 22523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22512 and 22523. First we will calculate the prime factors of 22512 and 22523.

Prime Factorization of 22512

Prime Factorization of 22523

Now multiplying the highest exponent prime factors to calculate the LCM of 22512 and 22523.

LCM(22512,22523) = 2⁴ × 3¹ × 7¹ × 67¹ × 101¹ × 223¹
LCM(22512,22523) = 507037776