Least Common Multiple of 251 and 254

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 254 the smallest integer that is 63754 that is divisible by both numbers.

Least Common Multiple (LCM) of 251 and 254 is 63754.

LCM(251,254) = 63754

LCM of 251 and 254

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

LCM of:
and

Least Common Multiple of 251 and 254

LCM of 251 and 254 is 63754

Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 254. First we will calculate the prime factors of 251 and 254.

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 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 251 and 254.

LCM(251,254) = 21×1271×2511
LCM(251,254) = 63754

Factors of 251

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

1, 251

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Least Common Multiple of 251 and 254 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 254, than apply into the LCM equation.

GCF(251,254) = 1
LCM(251,254) = ( 251 × 254) / 1
LCM(251,254) = 63754 / 1
LCM(251,254) = 63754

Properties of LCM 251 and 254

(i) The LCM of 254 and 251 is associative

LCM of 251 and 254 = LCM of 254 and 251

Related Least Common Multiples of 251

Related Least Common Multiples of 254

Frequently Asked Questions on LCM of 251 and 254

1. What is the LCM of 251 and 254?

Answer: LCM of 251 and 254 is 63754.

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 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

4. How to Find the LCM of 251 and 254?

Answer:

Least Common Multiple of 251 and 254 = 63754

Step 1: Find the prime factorization of 251

251 = 251

Step 2: Find the prime factorization of 254

254 = 2 x 127

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

LCM = 63754 = 2 x 127 x 251

Step 4: Therefore, the least common multiple of 251 and 254 is 63754.