What is the Least Common Multiple of 25052 and 25067?

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 25052 and 25067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25052 and 25067, than apply into the LCM equation.

GCF(25052,25067) = 1
LCM(25052,25067) = ( 25052 × 25067) / 1
LCM(25052,25067) = 627978484 / 1
LCM(25052,25067) = 627978484

Least Common Multiple (LCM) of 25052 and 25067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25052 and 25067. First we will calculate the prime factors of 25052 and 25067.

Prime Factorization of 25052

Prime Factorization of 25067

Now multiplying the highest exponent prime factors to calculate the LCM of 25052 and 25067.

LCM(25052,25067) = 2² × 6263¹ × 7¹ × 3581¹
LCM(25052,25067) = 627978484