What is the Least Common Multiple of 25640 and 25649?

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 25649 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 25649, than apply into the LCM equation.

GCF(25640,25649) = 1
LCM(25640,25649) = ( 25640 × 25649) / 1
LCM(25640,25649) = 657640360 / 1
LCM(25640,25649) = 657640360

Least Common Multiple (LCM) of 25640 and 25649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25640 and 25649. First we will calculate the prime factors of 25640 and 25649.

Prime Factorization of 25640

Prime Factorization of 25649

Now multiplying the highest exponent prime factors to calculate the LCM of 25640 and 25649.

LCM(25640,25649) = 2³ × 5¹ × 641¹ × 13¹ × 1973¹
LCM(25640,25649) = 657640360