GCF and LCM Calculator Logo

What is the Least Common Multiple of 250 and 265?

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 250 and 265 is 13250.

LCM(250,265) = 13250

LCM Calculator and
and

Least Common Multiple of 250 and 265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 250 and 265, than apply into the LCM equation.

GCF(250,265) = 5
LCM(250,265) = ( 250 × 265) / 5
LCM(250,265) = 66250 / 5
LCM(250,265) = 13250

Least Common Multiple (LCM) of 250 and 265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 265. First we will calculate the prime factors of 250 and 265.

Prime Factorization of 250

Prime factors of 250 are 2, 5. Prime factorization of 250 in exponential form is:

250 = 21 × 53

Prime Factorization of 265

Prime factors of 265 are 5, 53. Prime factorization of 265 in exponential form is:

265 = 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 250 and 265.

LCM(250,265) = 21 × 53 × 531
LCM(250,265) = 13250