What is the Least Common Multiple of 24189 and 24202?

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 24189 and 24202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24189 and 24202, than apply into the LCM equation.

GCF(24189,24202) = 1
LCM(24189,24202) = ( 24189 × 24202) / 1
LCM(24189,24202) = 585422178 / 1
LCM(24189,24202) = 585422178

Least Common Multiple (LCM) of 24189 and 24202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24189 and 24202. First we will calculate the prime factors of 24189 and 24202.

Prime Factorization of 24189

Prime Factorization of 24202

Now multiplying the highest exponent prime factors to calculate the LCM of 24189 and 24202.

LCM(24189,24202) = 3¹ × 11¹ × 733¹ × 2¹ × 12101¹
LCM(24189,24202) = 585422178