What is the Least Common Multiple of 70396 and 70403?

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 70396 and 70403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70396 and 70403, than apply into the LCM equation.

GCF(70396,70403) = 1
LCM(70396,70403) = ( 70396 × 70403) / 1
LCM(70396,70403) = 4956089588 / 1
LCM(70396,70403) = 4956089588

Least Common Multiple (LCM) of 70396 and 70403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70396 and 70403. First we will calculate the prime factors of 70396 and 70403.

Prime Factorization of 70396

Prime Factorization of 70403

Now multiplying the highest exponent prime factors to calculate the LCM of 70396 and 70403.

LCM(70396,70403) = 2² × 17599¹ × 23¹ × 3061¹
LCM(70396,70403) = 4956089588