What is the Least Common Multiple of 22494 and 22512?

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 22494 and 22512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22494 and 22512, than apply into the LCM equation.

GCF(22494,22512) = 6
LCM(22494,22512) = ( 22494 × 22512) / 6
LCM(22494,22512) = 506384928 / 6
LCM(22494,22512) = 84397488

Least Common Multiple (LCM) of 22494 and 22512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22494 and 22512. First we will calculate the prime factors of 22494 and 22512.

Prime Factorization of 22494

Prime Factorization of 22512

Now multiplying the highest exponent prime factors to calculate the LCM of 22494 and 22512.

LCM(22494,22512) = 2⁴ × 3¹ × 23¹ × 163¹ × 7¹ × 67¹
LCM(22494,22512) = 84397488