What is the Least Common Multiple of 70238 and 70245?

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 70245 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 70245, than apply into the LCM equation.

GCF(70238,70245) = 7
LCM(70238,70245) = ( 70238 × 70245) / 7
LCM(70238,70245) = 4933868310 / 7
LCM(70238,70245) = 704838330

Least Common Multiple (LCM) of 70238 and 70245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70238 and 70245. First we will calculate the prime factors of 70238 and 70245.

Prime Factorization of 70238

Prime Factorization of 70245

Now multiplying the highest exponent prime factors to calculate the LCM of 70238 and 70245.

LCM(70238,70245) = 2¹ × 7¹ × 29¹ × 173¹ × 3² × 5¹ × 223¹
LCM(70238,70245) = 704838330