Least Common Multiple of 1260 and 1267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1260 and 1267 the smallest integer that is 228060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1260 and 1267 is 228060.

LCM(1260,1267) = 228060

LCM of 1260 and 1267

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

LCM of:
and

Least Common Multiple of 1260 and 1267

LCM of 1260 and 1267 is 228060

Least common multiple can be found by multiplying the highest exponent prime factors of 1260 and 1267. First we will calculate the prime factors of 1260 and 1267.

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

Prime Factorization of 1267


7 1267
181 181
1

Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:

1267 = 71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1260 and 1267.

LCM(1260,1267) = 22×32×51×71×1811
LCM(1260,1267) = 228060

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

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1, 7, 181, 1267

Least Common Multiple of 1260 and 1267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1260 and 1267, than apply into the LCM equation.

GCF(1260,1267) = 7
LCM(1260,1267) = ( 1260 × 1267) / 7
LCM(1260,1267) = 1596420 / 7
LCM(1260,1267) = 228060

Properties of LCM 1260 and 1267

(i) The LCM of 1267 and 1260 is associative

LCM of 1260 and 1267 = LCM of 1267 and 1260

Related Least Common Multiples of 1260

Related Least Common Multiples of 1267

Frequently Asked Questions on LCM of 1260 and 1267

1. What is the LCM of 1260 and 1267?

Answer: LCM of 1260 and 1267 is 228060.

2. 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.

3. What are the Factors of 1267?

Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.

4. How to Find the LCM of 1260 and 1267?

Answer:

Least Common Multiple of 1260 and 1267 = 228060

Step 1: Find the prime factorization of 1260

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

Step 2: Find the prime factorization of 1267

1267 = 7 x 181

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

LCM = 228060 = 2 x 2 x 3 x 3 x 5 x 7 x 181

Step 4: Therefore, the least common multiple of 1260 and 1267 is 228060.