What is the Least Common Multiple of 72240 and 72245?

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 72240 and 72245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72240 and 72245, than apply into the LCM equation.

GCF(72240,72245) = 5
LCM(72240,72245) = ( 72240 × 72245) / 5
LCM(72240,72245) = 5218978800 / 5
LCM(72240,72245) = 1043795760

Least Common Multiple (LCM) of 72240 and 72245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72240 and 72245. First we will calculate the prime factors of 72240 and 72245.

Prime Factorization of 72240

Prime Factorization of 72245

Now multiplying the highest exponent prime factors to calculate the LCM of 72240 and 72245.

LCM(72240,72245) = 2⁴ × 3¹ × 5¹ × 7¹ × 43¹ × 14449¹
LCM(72240,72245) = 1043795760