What is the Least Common Multiple of 70059 and 70063?

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 70059 and 70063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70059 and 70063, than apply into the LCM equation.

GCF(70059,70063) = 1
LCM(70059,70063) = ( 70059 × 70063) / 1
LCM(70059,70063) = 4908543717 / 1
LCM(70059,70063) = 4908543717

Least Common Multiple (LCM) of 70059 and 70063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70059 and 70063. First we will calculate the prime factors of 70059 and 70063.

Prime Factorization of 70059

Prime Factorization of 70063

Now multiplying the highest exponent prime factors to calculate the LCM of 70059 and 70063.

LCM(70059,70063) = 3¹ × 11² × 193¹ × 7¹ × 10009¹
LCM(70059,70063) = 4908543717