What is the Least Common Multiple of 25670 and 25679?

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 25679 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 25679, than apply into the LCM equation.

GCF(25670,25679) = 1
LCM(25670,25679) = ( 25670 × 25679) / 1
LCM(25670,25679) = 659179930 / 1
LCM(25670,25679) = 659179930

Least Common Multiple (LCM) of 25670 and 25679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25670 and 25679. First we will calculate the prime factors of 25670 and 25679.

Prime Factorization of 25670

Prime Factorization of 25679

Now multiplying the highest exponent prime factors to calculate the LCM of 25670 and 25679.

LCM(25670,25679) = 2¹ × 5¹ × 17¹ × 151¹ × 25679¹
LCM(25670,25679) = 659179930