What is the Least Common Multiple of 68250 and 68256?

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 68250 and 68256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68250 and 68256, than apply into the LCM equation.

GCF(68250,68256) = 6
LCM(68250,68256) = ( 68250 × 68256) / 6
LCM(68250,68256) = 4658472000 / 6
LCM(68250,68256) = 776412000

Least Common Multiple (LCM) of 68250 and 68256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68250 and 68256. First we will calculate the prime factors of 68250 and 68256.

Prime Factorization of 68250

Prime Factorization of 68256

Now multiplying the highest exponent prime factors to calculate the LCM of 68250 and 68256.

LCM(68250,68256) = 2⁵ × 3³ × 5³ × 7¹ × 13¹ × 79¹
LCM(68250,68256) = 776412000