What is the Least Common Multiple of 25714 and 25733?

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 25733 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 25733, than apply into the LCM equation.

GCF(25714,25733) = 1
LCM(25714,25733) = ( 25714 × 25733) / 1
LCM(25714,25733) = 661698362 / 1
LCM(25714,25733) = 661698362

Least Common Multiple (LCM) of 25714 and 25733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25714 and 25733. First we will calculate the prime factors of 25714 and 25733.

Prime Factorization of 25714

Prime Factorization of 25733

Now multiplying the highest exponent prime factors to calculate the LCM of 25714 and 25733.

LCM(25714,25733) = 2¹ × 13¹ × 23¹ × 43¹ × 25733¹
LCM(25714,25733) = 661698362