What is the Least Common Multiple of 68125 and 68129?

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 68125 and 68129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68125 and 68129, than apply into the LCM equation.

GCF(68125,68129) = 1
LCM(68125,68129) = ( 68125 × 68129) / 1
LCM(68125,68129) = 4641288125 / 1
LCM(68125,68129) = 4641288125

Least Common Multiple (LCM) of 68125 and 68129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68125 and 68129. First we will calculate the prime factors of 68125 and 68129.

Prime Factorization of 68125

Prime Factorization of 68129

Now multiplying the highest exponent prime factors to calculate the LCM of 68125 and 68129.

LCM(68125,68129) = 5⁴ × 109¹ × 193¹ × 353¹
LCM(68125,68129) = 4641288125