What is the Least Common Multiple of 70856 and 70872?

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 70856 and 70872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70856 and 70872, than apply into the LCM equation.

GCF(70856,70872) = 8
LCM(70856,70872) = ( 70856 × 70872) / 8
LCM(70856,70872) = 5021706432 / 8
LCM(70856,70872) = 627713304

Least Common Multiple (LCM) of 70856 and 70872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70856 and 70872. First we will calculate the prime factors of 70856 and 70872.

Prime Factorization of 70856

Prime Factorization of 70872

Now multiplying the highest exponent prime factors to calculate the LCM of 70856 and 70872.

LCM(70856,70872) = 2³ × 17¹ × 521¹ × 3¹ × 2953¹
LCM(70856,70872) = 627713304