What is the Least Common Multiple of 68544 and 68564?

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 68564 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 68564, than apply into the LCM equation.

GCF(68544,68564) = 4
LCM(68544,68564) = ( 68544 × 68564) / 4
LCM(68544,68564) = 4699650816 / 4
LCM(68544,68564) = 1174912704

Least Common Multiple (LCM) of 68544 and 68564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68564. First we will calculate the prime factors of 68544 and 68564.

Prime Factorization of 68544

Prime Factorization of 68564

Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68564.

LCM(68544,68564) = 2⁶ × 3² × 7¹ × 17¹ × 61¹ × 281¹
LCM(68544,68564) = 1174912704