Least Common Multiple of 250 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 250 and 254 the smallest integer that is 31750 that is divisible by both numbers.

Least Common Multiple (LCM) of 250 and 254 is 31750.

LCM(250,254) = 31750

LCM of 250 and 254

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

LCM of:
and

Least Common Multiple of 250 and 254

LCM of 250 and 254 is 31750

Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 254. First we will calculate the prime factors of 250 and 254.

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 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 250 and 254.

LCM(250,254) = 21×53×1271
LCM(250,254) = 31750

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 254

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

1, 2, 127, 254

Least Common Multiple of 250 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 250 and 254, than apply into the LCM equation.

GCF(250,254) = 2
LCM(250,254) = ( 250 × 254) / 2
LCM(250,254) = 63500 / 2
LCM(250,254) = 31750

Properties of LCM 250 and 254

(i) The LCM of 254 and 250 is associative

LCM of 250 and 254 = LCM of 254 and 250

Related Least Common Multiples of 250

Related Least Common Multiples of 254

Frequently Asked Questions on LCM of 250 and 254

1. What is the LCM of 250 and 254?

Answer: LCM of 250 and 254 is 31750.

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 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 250 and 254?

Answer:

Least Common Multiple of 250 and 254 = 31750

Step 1: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

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 = 31750 = 2 x 5 x 5 x 5 x 127

Step 4: Therefore, the least common multiple of 250 and 254 is 31750.