Least Common Multiple of 250 and 251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 250 and 251 the smallest integer that is 62750 that is divisible by both numbers.

Least Common Multiple (LCM) of 250 and 251 is 62750.

LCM(250,251) = 62750

LCM of 250 and 251

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 250 and 251

LCM of 250 and 251 is 62750

Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 251. First we will calculate the prime factors of 250 and 251.

Prime Factorization of 250


2 250
5 125
5 25
5 5
1

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

250 = 21×53

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 250 and 251.

LCM(250,251) = 21×53×2511
LCM(250,251) = 62750

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

Least Common Multiple of 250 and 251 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 251, than apply into the LCM equation.

GCF(250,251) = 1
LCM(250,251) = ( 250 × 251) / 1
LCM(250,251) = 62750 / 1
LCM(250,251) = 62750

Properties of LCM 250 and 251

(i) The LCM of 251 and 250 is associative

LCM of 250 and 251 = LCM of 251 and 250

Related Least Common Multiples of 250

Related Least Common Multiples of 251

Frequently Asked Questions on LCM of 250 and 251

1. What is the LCM of 250 and 251?

Answer: LCM of 250 and 251 is 62750.

2. What are the Factors of 250?

Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.

3. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

4. How to Find the LCM of 250 and 251?

Answer:

Least Common Multiple of 250 and 251 = 62750

Step 1: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 251

251 = 251

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 62750 = 2 x 5 x 5 x 5 x 251

Step 4: Therefore, the least common multiple of 250 and 251 is 62750.