What is the Least Common Multiple of 25653 and 25671?

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 25653 and 25671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25653 and 25671, than apply into the LCM equation.

GCF(25653,25671) = 3
LCM(25653,25671) = ( 25653 × 25671) / 3
LCM(25653,25671) = 658538163 / 3
LCM(25653,25671) = 219512721

Least Common Multiple (LCM) of 25653 and 25671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25653 and 25671. First we will calculate the prime factors of 25653 and 25671.

Prime Factorization of 25653

Prime Factorization of 25671

Now multiplying the highest exponent prime factors to calculate the LCM of 25653 and 25671.

LCM(25653,25671) = 3¹ × 17¹ × 503¹ × 43¹ × 199¹
LCM(25653,25671) = 219512721