What is the Least Common Multiple of 70238 and 70250?

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 70250 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 70250, than apply into the LCM equation.

GCF(70238,70250) = 2
LCM(70238,70250) = ( 70238 × 70250) / 2
LCM(70238,70250) = 4934219500 / 2
LCM(70238,70250) = 2467109750

Least Common Multiple (LCM) of 70238 and 70250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70238 and 70250. First we will calculate the prime factors of 70238 and 70250.

Prime Factorization of 70238

Prime Factorization of 70250

Now multiplying the highest exponent prime factors to calculate the LCM of 70238 and 70250.

LCM(70238,70250) = 2¹ × 7¹ × 29¹ × 173¹ × 5³ × 281¹
LCM(70238,70250) = 2467109750