What is the Least Common Multiple of 25604 and 25616?

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 25604 and 25616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25604 and 25616, than apply into the LCM equation.

GCF(25604,25616) = 4
LCM(25604,25616) = ( 25604 × 25616) / 4
LCM(25604,25616) = 655872064 / 4
LCM(25604,25616) = 163968016

Least Common Multiple (LCM) of 25604 and 25616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25604 and 25616. First we will calculate the prime factors of 25604 and 25616.

Prime Factorization of 25604

Prime Factorization of 25616

Now multiplying the highest exponent prime factors to calculate the LCM of 25604 and 25616.

LCM(25604,25616) = 2⁴ × 37¹ × 173¹ × 1601¹
LCM(25604,25616) = 163968016