What is the Least Common Multiple of 25006 and 25024?

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 25006 and 25024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25006 and 25024, than apply into the LCM equation.

GCF(25006,25024) = 2
LCM(25006,25024) = ( 25006 × 25024) / 2
LCM(25006,25024) = 625750144 / 2
LCM(25006,25024) = 312875072

Least Common Multiple (LCM) of 25006 and 25024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25006 and 25024. First we will calculate the prime factors of 25006 and 25024.

Prime Factorization of 25006

Prime Factorization of 25024

Now multiplying the highest exponent prime factors to calculate the LCM of 25006 and 25024.

LCM(25006,25024) = 2⁶ × 12503¹ × 17¹ × 23¹
LCM(25006,25024) = 312875072