What is the Least Common Multiple of 25431 and 25446?

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 25431 and 25446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25431 and 25446, than apply into the LCM equation.

GCF(25431,25446) = 3
LCM(25431,25446) = ( 25431 × 25446) / 3
LCM(25431,25446) = 647117226 / 3
LCM(25431,25446) = 215705742

Least Common Multiple (LCM) of 25431 and 25446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25431 and 25446. First we will calculate the prime factors of 25431 and 25446.

Prime Factorization of 25431

Prime Factorization of 25446

Now multiplying the highest exponent prime factors to calculate the LCM of 25431 and 25446.

LCM(25431,25446) = 3¹ × 7² × 173¹ × 2¹ × 4241¹
LCM(25431,25446) = 215705742