What is the Least Common Multiple of 24192 and 24201?

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 24201 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 24201, than apply into the LCM equation.

GCF(24192,24201) = 9
LCM(24192,24201) = ( 24192 × 24201) / 9
LCM(24192,24201) = 585470592 / 9
LCM(24192,24201) = 65052288

Least Common Multiple (LCM) of 24192 and 24201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24192 and 24201. First we will calculate the prime factors of 24192 and 24201.

Prime Factorization of 24192

Prime Factorization of 24201

Now multiplying the highest exponent prime factors to calculate the LCM of 24192 and 24201.

LCM(24192,24201) = 2⁷ × 3³ × 7¹ × 2689¹
LCM(24192,24201) = 65052288