What is the Least Common Multiple of 72245 and 72255?

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 72245 and 72255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72245 and 72255, than apply into the LCM equation.

GCF(72245,72255) = 5
LCM(72245,72255) = ( 72245 × 72255) / 5
LCM(72245,72255) = 5220062475 / 5
LCM(72245,72255) = 1044012495

Least Common Multiple (LCM) of 72245 and 72255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72245 and 72255. First we will calculate the prime factors of 72245 and 72255.

Prime Factorization of 72245

Prime Factorization of 72255

Now multiplying the highest exponent prime factors to calculate the LCM of 72245 and 72255.

LCM(72245,72255) = 5¹ × 14449¹ × 3¹ × 4817¹
LCM(72245,72255) = 1044012495