What is the Least Common Multiple of 25609 and 25620?

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 25609 and 25620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25609 and 25620, than apply into the LCM equation.

GCF(25609,25620) = 1
LCM(25609,25620) = ( 25609 × 25620) / 1
LCM(25609,25620) = 656102580 / 1
LCM(25609,25620) = 656102580

Least Common Multiple (LCM) of 25609 and 25620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25609 and 25620. First we will calculate the prime factors of 25609 and 25620.

Prime Factorization of 25609

Prime Factorization of 25620

Now multiplying the highest exponent prime factors to calculate the LCM of 25609 and 25620.

LCM(25609,25620) = 25609¹ × 2² × 3¹ × 5¹ × 7¹ × 61¹
LCM(25609,25620) = 656102580