What is the Least Common Multiple of 24188 and 24192?

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 24188 and 24192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24188 and 24192, than apply into the LCM equation.

GCF(24188,24192) = 4
LCM(24188,24192) = ( 24188 × 24192) / 4
LCM(24188,24192) = 585156096 / 4
LCM(24188,24192) = 146289024

Least Common Multiple (LCM) of 24188 and 24192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24188 and 24192. First we will calculate the prime factors of 24188 and 24192.

Prime Factorization of 24188

Prime Factorization of 24192

Now multiplying the highest exponent prime factors to calculate the LCM of 24188 and 24192.

LCM(24188,24192) = 2⁷ × 6047¹ × 3³ × 7¹
LCM(24188,24192) = 146289024