What is the Least Common Multiple of 80224 and 80234?

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 80224 and 80234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80224 and 80234, than apply into the LCM equation.

GCF(80224,80234) = 2
LCM(80224,80234) = ( 80224 × 80234) / 2
LCM(80224,80234) = 6436692416 / 2
LCM(80224,80234) = 3218346208

Least Common Multiple (LCM) of 80224 and 80234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80224 and 80234. First we will calculate the prime factors of 80224 and 80234.

Prime Factorization of 80224

Prime Factorization of 80234

Now multiplying the highest exponent prime factors to calculate the LCM of 80224 and 80234.

LCM(80224,80234) = 2⁵ × 23¹ × 109¹ × 7¹ × 11¹ × 521¹
LCM(80224,80234) = 3218346208