GCF and LCM Calculator Logo

What is the Least Common Multiple of 25173 and 25186?

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 25173 and 25186 is 634007178.

LCM(25173,25186) = 634007178

LCM Calculator and
and

Least Common Multiple of 25173 and 25186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25173 and 25186, than apply into the LCM equation.

GCF(25173,25186) = 1
LCM(25173,25186) = ( 25173 × 25186) / 1
LCM(25173,25186) = 634007178 / 1
LCM(25173,25186) = 634007178

Least Common Multiple (LCM) of 25173 and 25186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25173 and 25186. First we will calculate the prime factors of 25173 and 25186.

Prime Factorization of 25173

Prime factors of 25173 are 3, 2797. Prime factorization of 25173 in exponential form is:

25173 = 32 × 27971

Prime Factorization of 25186

Prime factors of 25186 are 2, 7, 257. Prime factorization of 25186 in exponential form is:

25186 = 21 × 72 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 25173 and 25186.

LCM(25173,25186) = 32 × 27971 × 21 × 72 × 2571
LCM(25173,25186) = 634007178