What is the Least Common Multiple of 25038 and 25052?

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 25038 and 25052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25038 and 25052, than apply into the LCM equation.

GCF(25038,25052) = 2
LCM(25038,25052) = ( 25038 × 25052) / 2
LCM(25038,25052) = 627251976 / 2
LCM(25038,25052) = 313625988

Least Common Multiple (LCM) of 25038 and 25052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25038 and 25052. First we will calculate the prime factors of 25038 and 25052.

Prime Factorization of 25038

Prime Factorization of 25052

Now multiplying the highest exponent prime factors to calculate the LCM of 25038 and 25052.

LCM(25038,25052) = 2² × 3² × 13¹ × 107¹ × 6263¹
LCM(25038,25052) = 313625988