What is the Least Common Multiple of 68688 and 68696?

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 68688 and 68696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68688 and 68696, than apply into the LCM equation.

GCF(68688,68696) = 8
LCM(68688,68696) = ( 68688 × 68696) / 8
LCM(68688,68696) = 4718590848 / 8
LCM(68688,68696) = 589823856

Least Common Multiple (LCM) of 68688 and 68696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68688 and 68696. First we will calculate the prime factors of 68688 and 68696.

Prime Factorization of 68688

Prime Factorization of 68696

Now multiplying the highest exponent prime factors to calculate the LCM of 68688 and 68696.

LCM(68688,68696) = 2⁴ × 3⁴ × 53¹ × 31¹ × 277¹
LCM(68688,68696) = 589823856