What is the Least Common Multiple of 24206 and 24221?

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 24206 and 24221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24206 and 24221, than apply into the LCM equation.

GCF(24206,24221) = 1
LCM(24206,24221) = ( 24206 × 24221) / 1
LCM(24206,24221) = 586293526 / 1
LCM(24206,24221) = 586293526

Least Common Multiple (LCM) of 24206 and 24221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24206 and 24221. First we will calculate the prime factors of 24206 and 24221.

Prime Factorization of 24206

Prime Factorization of 24221

Now multiplying the highest exponent prime factors to calculate the LCM of 24206 and 24221.

LCM(24206,24221) = 2¹ × 7² × 13¹ × 19¹ × 53¹ × 457¹
LCM(24206,24221) = 586293526