What is the Least Common Multiple of 70758 and 70768?

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 70758 and 70768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70758 and 70768, than apply into the LCM equation.

GCF(70758,70768) = 2
LCM(70758,70768) = ( 70758 × 70768) / 2
LCM(70758,70768) = 5007402144 / 2
LCM(70758,70768) = 2503701072

Least Common Multiple (LCM) of 70758 and 70768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70758 and 70768. First we will calculate the prime factors of 70758 and 70768.

Prime Factorization of 70758

Prime Factorization of 70768

Now multiplying the highest exponent prime factors to calculate the LCM of 70758 and 70768.

LCM(70758,70768) = 2⁴ × 3² × 3931¹ × 4423¹
LCM(70758,70768) = 2503701072