What is the Least Common Multiple of 68544 and 68562?

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 68562 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 68562, than apply into the LCM equation.

GCF(68544,68562) = 18
LCM(68544,68562) = ( 68544 × 68562) / 18
LCM(68544,68562) = 4699513728 / 18
LCM(68544,68562) = 261084096

Least Common Multiple (LCM) of 68544 and 68562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68562. First we will calculate the prime factors of 68544 and 68562.

Prime Factorization of 68544

Prime Factorization of 68562

Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68562.

LCM(68544,68562) = 2⁶ × 3² × 7¹ × 17¹ × 13¹ × 293¹
LCM(68544,68562) = 261084096