Least Common Multiple of 1253 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 1253 and 1260 the smallest integer that is 225540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1253 and 1260 is 225540.

LCM(1253,1260) = 225540

LCM of 1253 and 1260

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

LCM of:
and

Least Common Multiple of 1253 and 1260

LCM of 1253 and 1260 is 225540

Least common multiple can be found by multiplying the highest exponent prime factors of 1253 and 1260. First we will calculate the prime factors of 1253 and 1260.

Prime Factorization of 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

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 1253 and 1260.

LCM(1253,1260) = 22×32×51×71×1791
LCM(1253,1260) = 225540

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1, 7, 179, 1253

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 1253 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 1253 and 1260, than apply into the LCM equation.

GCF(1253,1260) = 7
LCM(1253,1260) = ( 1253 × 1260) / 7
LCM(1253,1260) = 1578780 / 7
LCM(1253,1260) = 225540

Properties of LCM 1253 and 1260

(i) The LCM of 1260 and 1253 is associative

LCM of 1253 and 1260 = LCM of 1260 and 1253

Related Least Common Multiples of 1253

Related Least Common Multiples of 1260

Frequently Asked Questions on LCM of 1253 and 1260

1. What is the LCM of 1253 and 1260?

Answer: LCM of 1253 and 1260 is 225540.

2. What are the Factors of 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

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 1253 and 1260?

Answer:

Least Common Multiple of 1253 and 1260 = 225540

Step 1: Find the prime factorization of 1253

1253 = 7 x 179

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 = 225540 = 2 x 2 x 3 x 3 x 5 x 7 x 179

Step 4: Therefore, the least common multiple of 1253 and 1260 is 225540.