What is the Least Common Multiple of 70041 and 70047?

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 70041 and 70047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70041 and 70047, than apply into the LCM equation.

GCF(70041,70047) = 3
LCM(70041,70047) = ( 70041 × 70047) / 3
LCM(70041,70047) = 4906161927 / 3
LCM(70041,70047) = 1635387309

Least Common Multiple (LCM) of 70041 and 70047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70041 and 70047. First we will calculate the prime factors of 70041 and 70047.

Prime Factorization of 70041

Prime Factorization of 70047

Now multiplying the highest exponent prime factors to calculate the LCM of 70041 and 70047.

LCM(70041,70047) = 3² × 37¹ × 631¹ × 43¹ × 181¹
LCM(70041,70047) = 1635387309