Least Common Multiple of 1250 and 1252

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 1252 the smallest integer that is 782500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1250 and 1252 is 782500.

LCM(1250,1252) = 782500

LCM of 1250 and 1252

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

LCM of:
and

Least Common Multiple of 1250 and 1252

LCM of 1250 and 1252 is 782500

Least common multiple can be found by multiplying the highest exponent prime factors of 1250 and 1252. First we will calculate the prime factors of 1250 and 1252.

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 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1250 and 1252.

LCM(1250,1252) = 22×54×3131
LCM(1250,1252) = 782500

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 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626, 1252

Least Common Multiple of 1250 and 1252 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 1252, than apply into the LCM equation.

GCF(1250,1252) = 2
LCM(1250,1252) = ( 1250 × 1252) / 2
LCM(1250,1252) = 1565000 / 2
LCM(1250,1252) = 782500

Properties of LCM 1250 and 1252

(i) The LCM of 1252 and 1250 is associative

LCM of 1250 and 1252 = LCM of 1252 and 1250

Related Least Common Multiples of 1250

Related Least Common Multiples of 1252

Frequently Asked Questions on LCM of 1250 and 1252

1. What is the LCM of 1250 and 1252?

Answer: LCM of 1250 and 1252 is 782500.

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 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

4. How to Find the LCM of 1250 and 1252?

Answer:

Least Common Multiple of 1250 and 1252 = 782500

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 1252

1252 = 2 x 2 x 313

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

LCM = 782500 = 2 x 2 x 5 x 5 x 5 x 5 x 313

Step 4: Therefore, the least common multiple of 1250 and 1252 is 782500.