What is the Least Common Multiple of 25032 and 25046?

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 25032 and 25046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25032 and 25046, than apply into the LCM equation.

GCF(25032,25046) = 14
LCM(25032,25046) = ( 25032 × 25046) / 14
LCM(25032,25046) = 626951472 / 14
LCM(25032,25046) = 44782248

Least Common Multiple (LCM) of 25032 and 25046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25032 and 25046. First we will calculate the prime factors of 25032 and 25046.

Prime Factorization of 25032

Prime Factorization of 25046

Now multiplying the highest exponent prime factors to calculate the LCM of 25032 and 25046.

LCM(25032,25046) = 2³ × 3¹ × 7¹ × 149¹ × 1789¹
LCM(25032,25046) = 44782248