What is the Least Common Multiple of 25564 and 25583?

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 25564 and 25583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25564 and 25583, than apply into the LCM equation.

GCF(25564,25583) = 1
LCM(25564,25583) = ( 25564 × 25583) / 1
LCM(25564,25583) = 654003812 / 1
LCM(25564,25583) = 654003812

Least Common Multiple (LCM) of 25564 and 25583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25564 and 25583. First we will calculate the prime factors of 25564 and 25583.

Prime Factorization of 25564

Prime Factorization of 25583

Now multiplying the highest exponent prime factors to calculate the LCM of 25564 and 25583.

LCM(25564,25583) = 2² × 7¹ × 11¹ × 83¹ × 25583¹
LCM(25564,25583) = 654003812