GCF and LCM Calculator Logo

What is the Least Common Multiple of 52250 and 52266?

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 52250 and 52266 is 1365449250.

LCM(52250,52266) = 1365449250

LCM Calculator and
and

Least Common Multiple of 52250 and 52266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52250 and 52266, than apply into the LCM equation.

GCF(52250,52266) = 2
LCM(52250,52266) = ( 52250 × 52266) / 2
LCM(52250,52266) = 2730898500 / 2
LCM(52250,52266) = 1365449250

Least Common Multiple (LCM) of 52250 and 52266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52250 and 52266. First we will calculate the prime factors of 52250 and 52266.

Prime Factorization of 52250

Prime factors of 52250 are 2, 5, 11, 19. Prime factorization of 52250 in exponential form is:

52250 = 21 × 53 × 111 × 191

Prime Factorization of 52266

Prime factors of 52266 are 2, 3, 31, 281. Prime factorization of 52266 in exponential form is:

52266 = 21 × 31 × 311 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 52250 and 52266.

LCM(52250,52266) = 21 × 53 × 111 × 191 × 31 × 311 × 2811
LCM(52250,52266) = 1365449250