What is the Least Common Multiple of 23295 and 23301?

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 23295 and 23301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23295 and 23301, than apply into the LCM equation.

GCF(23295,23301) = 3
LCM(23295,23301) = ( 23295 × 23301) / 3
LCM(23295,23301) = 542796795 / 3
LCM(23295,23301) = 180932265

Least Common Multiple (LCM) of 23295 and 23301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23295 and 23301. First we will calculate the prime factors of 23295 and 23301.

Prime Factorization of 23295

Prime Factorization of 23301

Now multiplying the highest exponent prime factors to calculate the LCM of 23295 and 23301.

LCM(23295,23301) = 3³ × 5¹ × 1553¹ × 863¹
LCM(23295,23301) = 180932265