What is the Least Common Multiple of 70734 and 70752?

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 70734 and 70752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70734 and 70752, than apply into the LCM equation.

GCF(70734,70752) = 6
LCM(70734,70752) = ( 70734 × 70752) / 6
LCM(70734,70752) = 5004571968 / 6
LCM(70734,70752) = 834095328

Least Common Multiple (LCM) of 70734 and 70752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70734 and 70752. First we will calculate the prime factors of 70734 and 70752.

Prime Factorization of 70734

Prime Factorization of 70752

Now multiplying the highest exponent prime factors to calculate the LCM of 70734 and 70752.

LCM(70734,70752) = 2⁵ × 3¹ × 11789¹ × 11¹ × 67¹
LCM(70734,70752) = 834095328