What is the Least Common Multiple of 25670 and 25682?

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 25670 and 25682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25670 and 25682, than apply into the LCM equation.

GCF(25670,25682) = 2
LCM(25670,25682) = ( 25670 × 25682) / 2
LCM(25670,25682) = 659256940 / 2
LCM(25670,25682) = 329628470

Least Common Multiple (LCM) of 25670 and 25682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25670 and 25682. First we will calculate the prime factors of 25670 and 25682.

Prime Factorization of 25670

Prime Factorization of 25682

Now multiplying the highest exponent prime factors to calculate the LCM of 25670 and 25682.

LCM(25670,25682) = 2¹ × 5¹ × 17¹ × 151¹ × 12841¹
LCM(25670,25682) = 329628470