What is the Least Common Multiple of 25802 and 25808?

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 25802 and 25808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25802 and 25808, than apply into the LCM equation.

GCF(25802,25808) = 2
LCM(25802,25808) = ( 25802 × 25808) / 2
LCM(25802,25808) = 665898016 / 2
LCM(25802,25808) = 332949008

Least Common Multiple (LCM) of 25802 and 25808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25802 and 25808. First we will calculate the prime factors of 25802 and 25808.

Prime Factorization of 25802

Prime Factorization of 25808

Now multiplying the highest exponent prime factors to calculate the LCM of 25802 and 25808.

LCM(25802,25808) = 2⁴ × 7¹ × 19¹ × 97¹ × 1613¹
LCM(25802,25808) = 332949008