Least Common Multiple of 1252 and 1260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1252 and 1260 the smallest integer that is 394380 that is divisible by both numbers.

Least Common Multiple (LCM) of 1252 and 1260 is 394380.

LCM(1252,1260) = 394380

LCM of 1252 and 1260

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

LCM of:
and

Least Common Multiple of 1252 and 1260

LCM of 1252 and 1260 is 394380

Least common multiple can be found by multiplying the highest exponent prime factors of 1252 and 1260. First we will calculate the prime factors of 1252 and 1260.

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

Prime Factorization of 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2, 3, 5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1252 and 1260.

LCM(1252,1260) = 22×32×51×71×3131
LCM(1252,1260) = 394380

Factors of 1252

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

1, 2, 4, 313, 626, 1252

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260

Least Common Multiple of 1252 and 1260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1252 and 1260, than apply into the LCM equation.

GCF(1252,1260) = 4
LCM(1252,1260) = ( 1252 × 1260) / 4
LCM(1252,1260) = 1577520 / 4
LCM(1252,1260) = 394380

Properties of LCM 1252 and 1260

(i) The LCM of 1260 and 1252 is associative

LCM of 1252 and 1260 = LCM of 1260 and 1252

Related Least Common Multiples of 1252

Related Least Common Multiples of 1260

Frequently Asked Questions on LCM of 1252 and 1260

1. What is the LCM of 1252 and 1260?

Answer: LCM of 1252 and 1260 is 394380.

2. 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.

3. What are the Factors of 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

4. How to Find the LCM of 1252 and 1260?

Answer:

Least Common Multiple of 1252 and 1260 = 394380

Step 1: Find the prime factorization of 1252

1252 = 2 x 2 x 313

Step 2: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

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

LCM = 394380 = 2 x 2 x 3 x 3 x 5 x 7 x 313

Step 4: Therefore, the least common multiple of 1252 and 1260 is 394380.