What is the Least Common Multiple of 25653 and 25668?

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 25668 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 25668, than apply into the LCM equation.

GCF(25653,25668) = 3
LCM(25653,25668) = ( 25653 × 25668) / 3
LCM(25653,25668) = 658461204 / 3
LCM(25653,25668) = 219487068

Least Common Multiple (LCM) of 25653 and 25668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25653 and 25668. First we will calculate the prime factors of 25653 and 25668.

Prime Factorization of 25653

Prime Factorization of 25668

Now multiplying the highest exponent prime factors to calculate the LCM of 25653 and 25668.

LCM(25653,25668) = 3² × 17¹ × 503¹ × 2² × 23¹ × 31¹
LCM(25653,25668) = 219487068