What is the Least Common Multiple of 70384 and 70391?

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 70384 and 70391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70384 and 70391, than apply into the LCM equation.

GCF(70384,70391) = 1
LCM(70384,70391) = ( 70384 × 70391) / 1
LCM(70384,70391) = 4954400144 / 1
LCM(70384,70391) = 4954400144

Least Common Multiple (LCM) of 70384 and 70391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70384 and 70391. First we will calculate the prime factors of 70384 and 70391.

Prime Factorization of 70384

Prime Factorization of 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 70384 and 70391.

LCM(70384,70391) = 2⁴ × 53¹ × 83¹ × 43¹ × 1637¹
LCM(70384,70391) = 4954400144