Least Common Multiple of 1270 and 1275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1270 and 1275 the smallest integer that is 323850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1270 and 1275 is 323850.

LCM(1270,1275) = 323850

LCM of 1270 and 1275

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

LCM of:
and

Least Common Multiple of 1270 and 1275

LCM of 1270 and 1275 is 323850

Least common multiple can be found by multiplying the highest exponent prime factors of 1270 and 1275. First we will calculate the prime factors of 1270 and 1275.

Prime Factorization of 1270


2 1270
5 635
127 127
1

Prime factors of 1270 are 2, 5,127. Prime factorization of 1270 in exponential form is:

1270 = 21×51×1271

Prime Factorization of 1275


3 1275
5 425
5 85
17 17
1

Prime factors of 1275 are 3, 5,17. Prime factorization of 1275 in exponential form is:

1275 = 31×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1270 and 1275.

LCM(1270,1275) = 21×31×52×171×1271
LCM(1270,1275) = 323850

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1, 2, 5, 10, 127, 254, 635, 1270

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275

Least Common Multiple of 1270 and 1275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1270 and 1275, than apply into the LCM equation.

GCF(1270,1275) = 5
LCM(1270,1275) = ( 1270 × 1275) / 5
LCM(1270,1275) = 1619250 / 5
LCM(1270,1275) = 323850

Properties of LCM 1270 and 1275

(i) The LCM of 1275 and 1270 is associative

LCM of 1270 and 1275 = LCM of 1275 and 1270

Related Least Common Multiples of 1270

Related Least Common Multiples of 1275

Frequently Asked Questions on LCM of 1270 and 1275

1. What is the LCM of 1270 and 1275?

Answer: LCM of 1270 and 1275 is 323850.

2. What are the Factors of 1270?

Answer: Factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270. There are 8 integers that are factors of 1270. The greatest factor of 1270 is 1270.

3. What are the Factors of 1275?

Answer: Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275. There are 12 integers that are factors of 1275. The greatest factor of 1275 is 1275.

4. How to Find the LCM of 1270 and 1275?

Answer:

Least Common Multiple of 1270 and 1275 = 323850

Step 1: Find the prime factorization of 1270

1270 = 2 x 5 x 127

Step 2: Find the prime factorization of 1275

1275 = 3 x 5 x 5 x 17

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

LCM = 323850 = 2 x 3 x 5 x 5 x 17 x 127

Step 4: Therefore, the least common multiple of 1270 and 1275 is 323850.