What is the Least Common Multiple of 25750 and 25765?

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 25750 and 25765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25750 and 25765, than apply into the LCM equation.

GCF(25750,25765) = 5
LCM(25750,25765) = ( 25750 × 25765) / 5
LCM(25750,25765) = 663448750 / 5
LCM(25750,25765) = 132689750

Least Common Multiple (LCM) of 25750 and 25765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25750 and 25765. First we will calculate the prime factors of 25750 and 25765.

Prime Factorization of 25750

Prime Factorization of 25765

Now multiplying the highest exponent prime factors to calculate the LCM of 25750 and 25765.

LCM(25750,25765) = 2¹ × 5³ × 103¹ × 5153¹
LCM(25750,25765) = 132689750