What is the Least Common Multiple of 72224 and 72240?

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 72224 and 72240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72224 and 72240, than apply into the LCM equation.

GCF(72224,72240) = 16
LCM(72224,72240) = ( 72224 × 72240) / 16
LCM(72224,72240) = 5217461760 / 16
LCM(72224,72240) = 326091360

Least Common Multiple (LCM) of 72224 and 72240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72224 and 72240. First we will calculate the prime factors of 72224 and 72240.

Prime Factorization of 72224

Prime Factorization of 72240

Now multiplying the highest exponent prime factors to calculate the LCM of 72224 and 72240.

LCM(72224,72240) = 2⁵ × 37¹ × 61¹ × 3¹ × 5¹ × 7¹ × 43¹
LCM(72224,72240) = 326091360