What is the Least Common Multiple of 83224 and 83238?

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 83224 and 83238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83224 and 83238, than apply into the LCM equation.

GCF(83224,83238) = 2
LCM(83224,83238) = ( 83224 × 83238) / 2
LCM(83224,83238) = 6927399312 / 2
LCM(83224,83238) = 3463699656

Least Common Multiple (LCM) of 83224 and 83238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83224 and 83238. First we will calculate the prime factors of 83224 and 83238.

Prime Factorization of 83224

Prime Factorization of 83238

Now multiplying the highest exponent prime factors to calculate the LCM of 83224 and 83238.

LCM(83224,83238) = 2³ × 101¹ × 103¹ × 3¹ × 13873¹
LCM(83224,83238) = 3463699656