What is the Least Common Multiple of 24198 and 24206?

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 24198 and 24206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24198 and 24206, than apply into the LCM equation.

GCF(24198,24206) = 2
LCM(24198,24206) = ( 24198 × 24206) / 2
LCM(24198,24206) = 585736788 / 2
LCM(24198,24206) = 292868394

Least Common Multiple (LCM) of 24198 and 24206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24198 and 24206. First we will calculate the prime factors of 24198 and 24206.

Prime Factorization of 24198

Prime Factorization of 24206

Now multiplying the highest exponent prime factors to calculate the LCM of 24198 and 24206.

LCM(24198,24206) = 2¹ × 3¹ × 37¹ × 109¹ × 7² × 13¹ × 19¹
LCM(24198,24206) = 292868394