What is the Least Common Multiple of 72361 and 72375?

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 72361 and 72375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72361 and 72375, than apply into the LCM equation.

GCF(72361,72375) = 1
LCM(72361,72375) = ( 72361 × 72375) / 1
LCM(72361,72375) = 5237127375 / 1
LCM(72361,72375) = 5237127375

Least Common Multiple (LCM) of 72361 and 72375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72361 and 72375. First we will calculate the prime factors of 72361 and 72375.

Prime Factorization of 72361

Prime Factorization of 72375

Now multiplying the highest exponent prime factors to calculate the LCM of 72361 and 72375.

LCM(72361,72375) = 269² × 3¹ × 5³ × 193¹
LCM(72361,72375) = 5237127375