What is the Least Common Multiple of 25657 and 25666?

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 25657 and 25666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25657 and 25666, than apply into the LCM equation.

GCF(25657,25666) = 1
LCM(25657,25666) = ( 25657 × 25666) / 1
LCM(25657,25666) = 658512562 / 1
LCM(25657,25666) = 658512562

Least Common Multiple (LCM) of 25657 and 25666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25657 and 25666. First we will calculate the prime factors of 25657 and 25666.

Prime Factorization of 25657

Prime Factorization of 25666

Now multiplying the highest exponent prime factors to calculate the LCM of 25657 and 25666.

LCM(25657,25666) = 25657¹ × 2¹ × 41¹ × 313¹
LCM(25657,25666) = 658512562