Least Common Multiple of 251 and 253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 251 and 253 the smallest integer that is 63503 that is divisible by both numbers.

Least Common Multiple (LCM) of 251 and 253 is 63503.

LCM(251,253) = 63503

LCM of 251 and 253

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

LCM of:
and

Least Common Multiple of 251 and 253

LCM of 251 and 253 is 63503

Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 253. First we will calculate the prime factors of 251 and 253.

Prime Factorization of 251


251 251
1

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

251 = 2511

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 251 and 253.

LCM(251,253) = 111×231×2511
LCM(251,253) = 63503

Factors of 251

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

1, 251

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Least Common Multiple of 251 and 253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 253, than apply into the LCM equation.

GCF(251,253) = 1
LCM(251,253) = ( 251 × 253) / 1
LCM(251,253) = 63503 / 1
LCM(251,253) = 63503

Properties of LCM 251 and 253

(i) The LCM of 253 and 251 is associative

LCM of 251 and 253 = LCM of 253 and 251

Related Least Common Multiples of 251

Related Least Common Multiples of 253

Frequently Asked Questions on LCM of 251 and 253

1. What is the LCM of 251 and 253?

Answer: LCM of 251 and 253 is 63503.

2. 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.

3. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

4. How to Find the LCM of 251 and 253?

Answer:

Least Common Multiple of 251 and 253 = 63503

Step 1: Find the prime factorization of 251

251 = 251

Step 2: Find the prime factorization of 253

253 = 11 x 23

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

LCM = 63503 = 11 x 23 x 251

Step 4: Therefore, the least common multiple of 251 and 253 is 63503.