What is the Least Common Multiple of 3125 and 3129?

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 3125 and 3129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3125 and 3129, than apply into the LCM equation.

GCF(3125,3129) = 1
LCM(3125,3129) = ( 3125 × 3129) / 1
LCM(3125,3129) = 9778125 / 1
LCM(3125,3129) = 9778125

Least Common Multiple (LCM) of 3125 and 3129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3129. First we will calculate the prime factors of 3125 and 3129.

Prime Factorization of 3125

Prime Factorization of 3129

Now multiplying the highest exponent prime factors to calculate the LCM of 3125 and 3129.

LCM(3125,3129) = 5⁵ × 3¹ × 7¹ × 149¹
LCM(3125,3129) = 9778125