What is the Least Common Multiple of 69224 and 69238?

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 69224 and 69238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69224 and 69238, than apply into the LCM equation.

GCF(69224,69238) = 2
LCM(69224,69238) = ( 69224 × 69238) / 2
LCM(69224,69238) = 4792931312 / 2
LCM(69224,69238) = 2396465656

Least Common Multiple (LCM) of 69224 and 69238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69224 and 69238. First we will calculate the prime factors of 69224 and 69238.

Prime Factorization of 69224

Prime Factorization of 69238

Now multiplying the highest exponent prime factors to calculate the LCM of 69224 and 69238.

LCM(69224,69238) = 2³ × 17¹ × 509¹ × 13¹ × 2663¹
LCM(69224,69238) = 2396465656