What is the Least Common Multiple of 68544 and 68556?

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 68544 and 68556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68544 and 68556, than apply into the LCM equation.

GCF(68544,68556) = 12
LCM(68544,68556) = ( 68544 × 68556) / 12
LCM(68544,68556) = 4699102464 / 12
LCM(68544,68556) = 391591872

Least Common Multiple (LCM) of 68544 and 68556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68556. First we will calculate the prime factors of 68544 and 68556.

Prime Factorization of 68544

Prime Factorization of 68556

Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68556.

LCM(68544,68556) = 2⁶ × 3² × 7¹ × 17¹ × 29¹ × 197¹
LCM(68544,68556) = 391591872