Least Common Multiple of 1263 and 1270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1263 and 1270 the smallest integer that is 1604010 that is divisible by both numbers.

Least Common Multiple (LCM) of 1263 and 1270 is 1604010.

LCM(1263,1270) = 1604010

LCM of 1263 and 1270

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

LCM of:
and

Least Common Multiple of 1263 and 1270

LCM of 1263 and 1270 is 1604010

Least common multiple can be found by multiplying the highest exponent prime factors of 1263 and 1270. First we will calculate the prime factors of 1263 and 1270.

Prime Factorization of 1263


3 1263
421 421
1

Prime factors of 1263 are 3,421. Prime factorization of 1263 in exponential form is:

1263 = 31×4211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1263 and 1270.

LCM(1263,1270) = 21×31×51×1271×4211
LCM(1263,1270) = 1604010

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1, 3, 421, 1263

Factors of 1270

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

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

Least Common Multiple of 1263 and 1270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1263 and 1270, than apply into the LCM equation.

GCF(1263,1270) = 1
LCM(1263,1270) = ( 1263 × 1270) / 1
LCM(1263,1270) = 1604010 / 1
LCM(1263,1270) = 1604010

Properties of LCM 1263 and 1270

(i) The LCM of 1270 and 1263 is associative

LCM of 1263 and 1270 = LCM of 1270 and 1263

Related Least Common Multiples of 1263

Related Least Common Multiples of 1270

Frequently Asked Questions on LCM of 1263 and 1270

1. What is the LCM of 1263 and 1270?

Answer: LCM of 1263 and 1270 is 1604010.

2. What are the Factors of 1263?

Answer: Factors of 1263 are 1, 3, 421, 1263. There are 4 integers that are factors of 1263. The greatest factor of 1263 is 1263.

3. 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.

4. How to Find the LCM of 1263 and 1270?

Answer:

Least Common Multiple of 1263 and 1270 = 1604010

Step 1: Find the prime factorization of 1263

1263 = 3 x 421

Step 2: Find the prime factorization of 1270

1270 = 2 x 5 x 127

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

LCM = 1604010 = 2 x 3 x 5 x 127 x 421

Step 4: Therefore, the least common multiple of 1263 and 1270 is 1604010.