What is the Least Common Multiple of 82224 and 82241?

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 82241 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 82241, than apply into the LCM equation.

GCF(82224,82241) = 1
LCM(82224,82241) = ( 82224 × 82241) / 1
LCM(82224,82241) = 6762183984 / 1
LCM(82224,82241) = 6762183984

Least Common Multiple (LCM) of 82224 and 82241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82224 and 82241. First we will calculate the prime factors of 82224 and 82241.

Prime Factorization of 82224

Prime Factorization of 82241

Now multiplying the highest exponent prime factors to calculate the LCM of 82224 and 82241.

LCM(82224,82241) = 2⁴ × 3² × 571¹ × 82241¹
LCM(82224,82241) = 6762183984