What is the Least Common Multiple of 68360 and 68375?

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 68360 and 68375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68360 and 68375, than apply into the LCM equation.

GCF(68360,68375) = 5
LCM(68360,68375) = ( 68360 × 68375) / 5
LCM(68360,68375) = 4674115000 / 5
LCM(68360,68375) = 934823000

Least Common Multiple (LCM) of 68360 and 68375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68360 and 68375. First we will calculate the prime factors of 68360 and 68375.

Prime Factorization of 68360

Prime Factorization of 68375

Now multiplying the highest exponent prime factors to calculate the LCM of 68360 and 68375.

LCM(68360,68375) = 2³ × 5³ × 1709¹ × 547¹
LCM(68360,68375) = 934823000