What is the Least Common Multiple of 25014 and 25029?

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 25014 and 25029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25014 and 25029, than apply into the LCM equation.

GCF(25014,25029) = 3
LCM(25014,25029) = ( 25014 × 25029) / 3
LCM(25014,25029) = 626075406 / 3
LCM(25014,25029) = 208691802

Least Common Multiple (LCM) of 25014 and 25029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25014 and 25029. First we will calculate the prime factors of 25014 and 25029.

Prime Factorization of 25014

Prime Factorization of 25029

Now multiplying the highest exponent prime factors to calculate the LCM of 25014 and 25029.

LCM(25014,25029) = 2¹ × 3⁵ × 11¹ × 379¹ × 103¹
LCM(25014,25029) = 208691802