What is the Least Common Multiple of 68538 and 68544?

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 68538 and 68544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68538 and 68544, than apply into the LCM equation.

GCF(68538,68544) = 6
LCM(68538,68544) = ( 68538 × 68544) / 6
LCM(68538,68544) = 4697868672 / 6
LCM(68538,68544) = 782978112

Least Common Multiple (LCM) of 68538 and 68544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68538 and 68544. First we will calculate the prime factors of 68538 and 68544.

Prime Factorization of 68538

Prime Factorization of 68544

Now multiplying the highest exponent prime factors to calculate the LCM of 68538 and 68544.

LCM(68538,68544) = 2⁶ × 3² × 11423¹ × 7¹ × 17¹
LCM(68538,68544) = 782978112