What is the Least Common Multiple of 70031 and 70041?

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 70031 and 70041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70031 and 70041, than apply into the LCM equation.

GCF(70031,70041) = 1
LCM(70031,70041) = ( 70031 × 70041) / 1
LCM(70031,70041) = 4905041271 / 1
LCM(70031,70041) = 4905041271

Least Common Multiple (LCM) of 70031 and 70041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70031 and 70041. First we will calculate the prime factors of 70031 and 70041.

Prime Factorization of 70031

Prime Factorization of 70041

Now multiplying the highest exponent prime factors to calculate the LCM of 70031 and 70041.

LCM(70031,70041) = 13¹ × 5387¹ × 3¹ × 37¹ × 631¹
LCM(70031,70041) = 4905041271