Least Common Multiple of 1250 and 1254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1250 and 1254 the smallest integer that is 783750 that is divisible by both numbers.

Least Common Multiple (LCM) of 1250 and 1254 is 783750.

LCM(1250,1254) = 783750

LCM of 1250 and 1254

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

LCM of:
and

Least Common Multiple of 1250 and 1254

LCM of 1250 and 1254 is 783750

Least common multiple can be found by multiplying the highest exponent prime factors of 1250 and 1254. First we will calculate the prime factors of 1250 and 1254.

Prime Factorization of 1250


2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 1250 are 2,5. Prime factorization of 1250 in exponential form is:

1250 = 21×54

Prime Factorization of 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2, 3, 11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1250 and 1254.

LCM(1250,1254) = 21×31×54×111×191
LCM(1250,1254) = 783750

Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254

Least Common Multiple of 1250 and 1254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1250 and 1254, than apply into the LCM equation.

GCF(1250,1254) = 2
LCM(1250,1254) = ( 1250 × 1254) / 2
LCM(1250,1254) = 1567500 / 2
LCM(1250,1254) = 783750

Properties of LCM 1250 and 1254

(i) The LCM of 1254 and 1250 is associative

LCM of 1250 and 1254 = LCM of 1254 and 1250

Related Least Common Multiples of 1250

Related Least Common Multiples of 1254

Frequently Asked Questions on LCM of 1250 and 1254

1. What is the LCM of 1250 and 1254?

Answer: LCM of 1250 and 1254 is 783750.

2. What are the Factors of 1250?

Answer: Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are 10 integers that are factors of 1250. The greatest factor of 1250 is 1250.

3. What are the Factors of 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

4. How to Find the LCM of 1250 and 1254?

Answer:

Least Common Multiple of 1250 and 1254 = 783750

Step 1: Find the prime factorization of 1250

1250 = 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

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

LCM = 783750 = 2 x 3 x 5 x 5 x 5 x 5 x 11 x 19

Step 4: Therefore, the least common multiple of 1250 and 1254 is 783750.