What is the Least Common Multiple of 25640 and 25647?

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 25640 and 25647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25640 and 25647, than apply into the LCM equation.

GCF(25640,25647) = 1
LCM(25640,25647) = ( 25640 × 25647) / 1
LCM(25640,25647) = 657589080 / 1
LCM(25640,25647) = 657589080

Least Common Multiple (LCM) of 25640 and 25647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25640 and 25647. First we will calculate the prime factors of 25640 and 25647.

Prime Factorization of 25640

Prime Factorization of 25647

Now multiplying the highest exponent prime factors to calculate the LCM of 25640 and 25647.

LCM(25640,25647) = 2³ × 5¹ × 641¹ × 3¹ × 83¹ × 103¹
LCM(25640,25647) = 657589080