What is the Least Common Multiple of 25485 and 25505?

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 25485 and 25505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25485 and 25505, than apply into the LCM equation.

GCF(25485,25505) = 5
LCM(25485,25505) = ( 25485 × 25505) / 5
LCM(25485,25505) = 649994925 / 5
LCM(25485,25505) = 129998985

Least Common Multiple (LCM) of 25485 and 25505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25485 and 25505. First we will calculate the prime factors of 25485 and 25505.

Prime Factorization of 25485

Prime Factorization of 25505

Now multiplying the highest exponent prime factors to calculate the LCM of 25485 and 25505.

LCM(25485,25505) = 3¹ × 5¹ × 1699¹ × 5101¹
LCM(25485,25505) = 129998985