GCF and LCM Calculator Logo

What is the Least Common Multiple of 25172 and 25192?

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 25172 and 25192 is 158533256.

LCM(25172,25192) = 158533256

LCM Calculator and
and

Least Common Multiple of 25172 and 25192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25172 and 25192, than apply into the LCM equation.

GCF(25172,25192) = 4
LCM(25172,25192) = ( 25172 × 25192) / 4
LCM(25172,25192) = 634133024 / 4
LCM(25172,25192) = 158533256

Least Common Multiple (LCM) of 25172 and 25192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25172 and 25192. First we will calculate the prime factors of 25172 and 25192.

Prime Factorization of 25172

Prime factors of 25172 are 2, 7, 29, 31. Prime factorization of 25172 in exponential form is:

25172 = 22 × 71 × 291 × 311

Prime Factorization of 25192

Prime factors of 25192 are 2, 47, 67. Prime factorization of 25192 in exponential form is:

25192 = 23 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 25172 and 25192.

LCM(25172,25192) = 23 × 71 × 291 × 311 × 471 × 671
LCM(25172,25192) = 158533256