What is the Least Common Multiple of 25714 and 25734?

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 25714 and 25734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25714 and 25734, than apply into the LCM equation.

GCF(25714,25734) = 2
LCM(25714,25734) = ( 25714 × 25734) / 2
LCM(25714,25734) = 661724076 / 2
LCM(25714,25734) = 330862038

Least Common Multiple (LCM) of 25714 and 25734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25714 and 25734. First we will calculate the prime factors of 25714 and 25734.

Prime Factorization of 25714

Prime Factorization of 25734

Now multiplying the highest exponent prime factors to calculate the LCM of 25714 and 25734.

LCM(25714,25734) = 2¹ × 13¹ × 23¹ × 43¹ × 3¹ × 4289¹
LCM(25714,25734) = 330862038