What is the Least Common Multiple of 70383 and 70397?

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 70383 and 70397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70383 and 70397, than apply into the LCM equation.

GCF(70383,70397) = 1
LCM(70383,70397) = ( 70383 × 70397) / 1
LCM(70383,70397) = 4954752051 / 1
LCM(70383,70397) = 4954752051

Least Common Multiple (LCM) of 70383 and 70397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70383 and 70397. First we will calculate the prime factors of 70383 and 70397.

Prime Factorization of 70383

Prime Factorization of 70397

Now multiplying the highest exponent prime factors to calculate the LCM of 70383 and 70397.

LCM(70383,70397) = 3¹ × 29¹ × 809¹ × 17¹ × 41¹ × 101¹
LCM(70383,70397) = 4954752051