What is the Least Common Multiple of 68544 and 68549?

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 68549 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 68549, than apply into the LCM equation.

GCF(68544,68549) = 1
LCM(68544,68549) = ( 68544 × 68549) / 1
LCM(68544,68549) = 4698622656 / 1
LCM(68544,68549) = 4698622656

Least Common Multiple (LCM) of 68544 and 68549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68549. First we will calculate the prime factors of 68544 and 68549.

Prime Factorization of 68544

Prime Factorization of 68549

Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68549.

LCM(68544,68549) = 2⁶ × 3² × 7¹ × 17¹ × 13¹ × 5273¹
LCM(68544,68549) = 4698622656