What is the Least Common Multiple of 68625 and 68643?

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 68625 and 68643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68625 and 68643, than apply into the LCM equation.

GCF(68625,68643) = 9
LCM(68625,68643) = ( 68625 × 68643) / 9
LCM(68625,68643) = 4710625875 / 9
LCM(68625,68643) = 523402875

Least Common Multiple (LCM) of 68625 and 68643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68625 and 68643. First we will calculate the prime factors of 68625 and 68643.

Prime Factorization of 68625

Prime Factorization of 68643

Now multiplying the highest exponent prime factors to calculate the LCM of 68625 and 68643.

LCM(68625,68643) = 3² × 5³ × 61¹ × 29¹ × 263¹
LCM(68625,68643) = 523402875