What is the Least Common Multiple of 25002 and 25006?

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 25002 and 25006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25002 and 25006, than apply into the LCM equation.

GCF(25002,25006) = 2
LCM(25002,25006) = ( 25002 × 25006) / 2
LCM(25002,25006) = 625200012 / 2
LCM(25002,25006) = 312600006

Least Common Multiple (LCM) of 25002 and 25006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25002 and 25006. First we will calculate the prime factors of 25002 and 25006.

Prime Factorization of 25002

Prime Factorization of 25006

Now multiplying the highest exponent prime factors to calculate the LCM of 25002 and 25006.

LCM(25002,25006) = 2¹ × 3³ × 463¹ × 12503¹
LCM(25002,25006) = 312600006