What is the Least Common Multiple of 23199 and 23208?

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 23199 and 23208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23199 and 23208, than apply into the LCM equation.

GCF(23199,23208) = 3
LCM(23199,23208) = ( 23199 × 23208) / 3
LCM(23199,23208) = 538402392 / 3
LCM(23199,23208) = 179467464

Least Common Multiple (LCM) of 23199 and 23208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23199 and 23208. First we will calculate the prime factors of 23199 and 23208.

Prime Factorization of 23199

Prime Factorization of 23208

Now multiplying the highest exponent prime factors to calculate the LCM of 23199 and 23208.

LCM(23199,23208) = 3¹ × 11¹ × 19¹ × 37¹ × 2³ × 967¹
LCM(23199,23208) = 179467464