What is the Least Common Multiple of 25038 and 25042?

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 25042 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 25042, than apply into the LCM equation.

GCF(25038,25042) = 2
LCM(25038,25042) = ( 25038 × 25042) / 2
LCM(25038,25042) = 627001596 / 2
LCM(25038,25042) = 313500798

Least Common Multiple (LCM) of 25038 and 25042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25038 and 25042. First we will calculate the prime factors of 25038 and 25042.

Prime Factorization of 25038

Prime Factorization of 25042

Now multiplying the highest exponent prime factors to calculate the LCM of 25038 and 25042.

LCM(25038,25042) = 2¹ × 3² × 13¹ × 107¹ × 19¹ × 659¹
LCM(25038,25042) = 313500798