What is the Least Common Multiple of 25488 and 25506?

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 25488 and 25506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25488 and 25506, than apply into the LCM equation.

GCF(25488,25506) = 18
LCM(25488,25506) = ( 25488 × 25506) / 18
LCM(25488,25506) = 650096928 / 18
LCM(25488,25506) = 36116496

Least Common Multiple (LCM) of 25488 and 25506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25488 and 25506. First we will calculate the prime factors of 25488 and 25506.

Prime Factorization of 25488

Prime Factorization of 25506

Now multiplying the highest exponent prime factors to calculate the LCM of 25488 and 25506.

LCM(25488,25506) = 2⁴ × 3³ × 59¹ × 13¹ × 109¹
LCM(25488,25506) = 36116496