What is the Least Common Multiple of 25870 and 25877?

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 25870 and 25877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25870 and 25877, than apply into the LCM equation.

GCF(25870,25877) = 1
LCM(25870,25877) = ( 25870 × 25877) / 1
LCM(25870,25877) = 669437990 / 1
LCM(25870,25877) = 669437990

Least Common Multiple (LCM) of 25870 and 25877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25870 and 25877. First we will calculate the prime factors of 25870 and 25877.

Prime Factorization of 25870

Prime Factorization of 25877

Now multiplying the highest exponent prime factors to calculate the LCM of 25870 and 25877.

LCM(25870,25877) = 2¹ × 5¹ × 13¹ × 199¹ × 113¹ × 229¹
LCM(25870,25877) = 669437990