What is the Least Common Multiple of 68224 and 68238?

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 68224 and 68238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68224 and 68238, than apply into the LCM equation.

GCF(68224,68238) = 2
LCM(68224,68238) = ( 68224 × 68238) / 2
LCM(68224,68238) = 4655469312 / 2
LCM(68224,68238) = 2327734656

Least Common Multiple (LCM) of 68224 and 68238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68224 and 68238. First we will calculate the prime factors of 68224 and 68238.

Prime Factorization of 68224

Prime Factorization of 68238

Now multiplying the highest exponent prime factors to calculate the LCM of 68224 and 68238.

LCM(68224,68238) = 2⁷ × 13¹ × 41¹ × 3² × 17¹ × 223¹
LCM(68224,68238) = 2327734656