GCF and LCM Calculator Logo

What is the Least Common Multiple of 25153 and 25173?

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 25153 and 25173 is 633176469.

LCM(25153,25173) = 633176469

LCM Calculator and
and

Least Common Multiple of 25153 and 25173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25153 and 25173, than apply into the LCM equation.

GCF(25153,25173) = 1
LCM(25153,25173) = ( 25153 × 25173) / 1
LCM(25153,25173) = 633176469 / 1
LCM(25153,25173) = 633176469

Least Common Multiple (LCM) of 25153 and 25173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25153 and 25173. First we will calculate the prime factors of 25153 and 25173.

Prime Factorization of 25153

Prime factors of 25153 are 25153. Prime factorization of 25153 in exponential form is:

25153 = 251531

Prime Factorization of 25173

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

25173 = 32 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 25153 and 25173.

LCM(25153,25173) = 251531 × 32 × 27971
LCM(25153,25173) = 633176469