What is the Least Common Multiple of 82224 and 82240?

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 82224 and 82240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82224 and 82240, than apply into the LCM equation.

GCF(82224,82240) = 16
LCM(82224,82240) = ( 82224 × 82240) / 16
LCM(82224,82240) = 6762101760 / 16
LCM(82224,82240) = 422631360

Least Common Multiple (LCM) of 82224 and 82240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82224 and 82240. First we will calculate the prime factors of 82224 and 82240.

Prime Factorization of 82224

Prime Factorization of 82240

Now multiplying the highest exponent prime factors to calculate the LCM of 82224 and 82240.

LCM(82224,82240) = 2⁶ × 3² × 571¹ × 5¹ × 257¹
LCM(82224,82240) = 422631360