What is the Least Common Multiple of 70238 and 70243?

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 70238 and 70243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70238 and 70243, than apply into the LCM equation.

GCF(70238,70243) = 1
LCM(70238,70243) = ( 70238 × 70243) / 1
LCM(70238,70243) = 4933727834 / 1
LCM(70238,70243) = 4933727834

Least Common Multiple (LCM) of 70238 and 70243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70238 and 70243. First we will calculate the prime factors of 70238 and 70243.

Prime Factorization of 70238

Prime Factorization of 70243

Now multiplying the highest exponent prime factors to calculate the LCM of 70238 and 70243.

LCM(70238,70243) = 2¹ × 7¹ × 29¹ × 173¹ × 19¹ × 3697¹
LCM(70238,70243) = 4933727834