What is the Least Common Multiple of 25030 and 25038?

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 25030 and 25038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25030 and 25038, than apply into the LCM equation.

GCF(25030,25038) = 2
LCM(25030,25038) = ( 25030 × 25038) / 2
LCM(25030,25038) = 626701140 / 2
LCM(25030,25038) = 313350570

Least Common Multiple (LCM) of 25030 and 25038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25030 and 25038. First we will calculate the prime factors of 25030 and 25038.

Prime Factorization of 25030

Prime Factorization of 25038

Now multiplying the highest exponent prime factors to calculate the LCM of 25030 and 25038.

LCM(25030,25038) = 2¹ × 5¹ × 2503¹ × 3² × 13¹ × 107¹
LCM(25030,25038) = 313350570