What is the Least Common Multiple of 23196 and 23201?

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 23196 and 23201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23196 and 23201, than apply into the LCM equation.

GCF(23196,23201) = 1
LCM(23196,23201) = ( 23196 × 23201) / 1
LCM(23196,23201) = 538170396 / 1
LCM(23196,23201) = 538170396

Least Common Multiple (LCM) of 23196 and 23201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23196 and 23201. First we will calculate the prime factors of 23196 and 23201.

Prime Factorization of 23196

Prime Factorization of 23201

Now multiplying the highest exponent prime factors to calculate the LCM of 23196 and 23201.

LCM(23196,23201) = 2² × 3¹ × 1933¹ × 23201¹
LCM(23196,23201) = 538170396