GCF and LCM Calculator Logo

What is the Least Common Multiple of 25192 and 25196?

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 25192 and 25196 is 158684408.

LCM(25192,25196) = 158684408

LCM Calculator and
and

Least Common Multiple of 25192 and 25196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25192 and 25196, than apply into the LCM equation.

GCF(25192,25196) = 4
LCM(25192,25196) = ( 25192 × 25196) / 4
LCM(25192,25196) = 634737632 / 4
LCM(25192,25196) = 158684408

Least Common Multiple (LCM) of 25192 and 25196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25192 and 25196. First we will calculate the prime factors of 25192 and 25196.

Prime Factorization of 25192

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

25192 = 23 × 471 × 671

Prime Factorization of 25196

Prime factors of 25196 are 2, 6299. Prime factorization of 25196 in exponential form is:

25196 = 22 × 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 25192 and 25196.

LCM(25192,25196) = 23 × 471 × 671 × 62991
LCM(25192,25196) = 158684408