What is the Least Common Multiple of 69792 and 69796?

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 69792 and 69796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69792 and 69796, than apply into the LCM equation.

GCF(69792,69796) = 4
LCM(69792,69796) = ( 69792 × 69796) / 4
LCM(69792,69796) = 4871202432 / 4
LCM(69792,69796) = 1217800608

Least Common Multiple (LCM) of 69792 and 69796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69792 and 69796. First we will calculate the prime factors of 69792 and 69796.

Prime Factorization of 69792

Prime Factorization of 69796

Now multiplying the highest exponent prime factors to calculate the LCM of 69792 and 69796.

LCM(69792,69796) = 2⁵ × 3¹ × 727¹ × 17449¹
LCM(69792,69796) = 1217800608