What is the Least Common Multiple of 68688 and 68704?

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 68688 and 68704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68688 and 68704, than apply into the LCM equation.

GCF(68688,68704) = 16
LCM(68688,68704) = ( 68688 × 68704) / 16
LCM(68688,68704) = 4719140352 / 16
LCM(68688,68704) = 294946272

Least Common Multiple (LCM) of 68688 and 68704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68688 and 68704. First we will calculate the prime factors of 68688 and 68704.

Prime Factorization of 68688

Prime Factorization of 68704

Now multiplying the highest exponent prime factors to calculate the LCM of 68688 and 68704.

LCM(68688,68704) = 2⁵ × 3⁴ × 53¹ × 19¹ × 113¹
LCM(68688,68704) = 294946272