What is the Least Common Multiple of 70238 and 70246?

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 70246 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 70246, than apply into the LCM equation.

GCF(70238,70246) = 2
LCM(70238,70246) = ( 70238 × 70246) / 2
LCM(70238,70246) = 4933938548 / 2
LCM(70238,70246) = 2466969274

Least Common Multiple (LCM) of 70238 and 70246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70238 and 70246. First we will calculate the prime factors of 70238 and 70246.

Prime Factorization of 70238

Prime Factorization of 70246

Now multiplying the highest exponent prime factors to calculate the LCM of 70238 and 70246.

LCM(70238,70246) = 2¹ × 7¹ × 29¹ × 173¹ × 11¹ × 31¹ × 103¹
LCM(70238,70246) = 2466969274