GCF and LCM Calculator Logo

What is the Least Common Multiple of 25308 and 25312?

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 25308 and 25312 is 160149024.

LCM(25308,25312) = 160149024

LCM Calculator and
and

Least Common Multiple of 25308 and 25312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25308 and 25312, than apply into the LCM equation.

GCF(25308,25312) = 4
LCM(25308,25312) = ( 25308 × 25312) / 4
LCM(25308,25312) = 640596096 / 4
LCM(25308,25312) = 160149024

Least Common Multiple (LCM) of 25308 and 25312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25308 and 25312. First we will calculate the prime factors of 25308 and 25312.

Prime Factorization of 25308

Prime factors of 25308 are 2, 3, 19, 37. Prime factorization of 25308 in exponential form is:

25308 = 22 × 32 × 191 × 371

Prime Factorization of 25312

Prime factors of 25312 are 2, 7, 113. Prime factorization of 25312 in exponential form is:

25312 = 25 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 25308 and 25312.

LCM(25308,25312) = 25 × 32 × 191 × 371 × 71 × 1131
LCM(25308,25312) = 160149024