What is the Least Common Multiple of 24192 and 24208?

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 24192 and 24208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24192 and 24208, than apply into the LCM equation.

GCF(24192,24208) = 16
LCM(24192,24208) = ( 24192 × 24208) / 16
LCM(24192,24208) = 585639936 / 16
LCM(24192,24208) = 36602496

Least Common Multiple (LCM) of 24192 and 24208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24192 and 24208. First we will calculate the prime factors of 24192 and 24208.

Prime Factorization of 24192

Prime Factorization of 24208

Now multiplying the highest exponent prime factors to calculate the LCM of 24192 and 24208.

LCM(24192,24208) = 2⁷ × 3³ × 7¹ × 17¹ × 89¹
LCM(24192,24208) = 36602496