What is the Least Common Multiple of 72224 and 72230?

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 72230 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 72230, than apply into the LCM equation.

GCF(72224,72230) = 2
LCM(72224,72230) = ( 72224 × 72230) / 2
LCM(72224,72230) = 5216739520 / 2
LCM(72224,72230) = 2608369760

Least Common Multiple (LCM) of 72224 and 72230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72224 and 72230. First we will calculate the prime factors of 72224 and 72230.

Prime Factorization of 72224

Prime Factorization of 72230

Now multiplying the highest exponent prime factors to calculate the LCM of 72224 and 72230.

LCM(72224,72230) = 2⁵ × 37¹ × 61¹ × 5¹ × 31¹ × 233¹
LCM(72224,72230) = 2608369760