GCF and LCM Calculator Logo

What is the Least Common Multiple of 25958 and 25967?

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 (LCM) of 25958 and 25967 is 674051386.

LCM(25958,25967) = 674051386

LCM Calculator and
and

Least Common Multiple of 25958 and 25967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25958 and 25967, than apply into the LCM equation.

GCF(25958,25967) = 1
LCM(25958,25967) = ( 25958 × 25967) / 1
LCM(25958,25967) = 674051386 / 1
LCM(25958,25967) = 674051386

Least Common Multiple (LCM) of 25958 and 25967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25958 and 25967. First we will calculate the prime factors of 25958 and 25967.

Prime Factorization of 25958

Prime factors of 25958 are 2, 12979. Prime factorization of 25958 in exponential form is:

25958 = 21 × 129791

Prime Factorization of 25967

Prime factors of 25967 are 23, 1129. Prime factorization of 25967 in exponential form is:

25967 = 231 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 25958 and 25967.

LCM(25958,25967) = 21 × 129791 × 231 × 11291
LCM(25958,25967) = 674051386