What is the Least Common Multiple of 70711 and 70723?

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 70711 and 70723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70711 and 70723, than apply into the LCM equation.

GCF(70711,70723) = 1
LCM(70711,70723) = ( 70711 × 70723) / 1
LCM(70711,70723) = 5000894053 / 1
LCM(70711,70723) = 5000894053

Least Common Multiple (LCM) of 70711 and 70723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70711 and 70723. First we will calculate the prime factors of 70711 and 70723.

Prime Factorization of 70711

Prime Factorization of 70723

Now multiplying the highest exponent prime factors to calculate the LCM of 70711 and 70723.

LCM(70711,70723) = 31¹ × 2281¹ × 197¹ × 359¹
LCM(70711,70723) = 5000894053