Least Common Multiple of 1266 and 1273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1266 and 1273 the smallest integer that is 1611618 that is divisible by both numbers.

Least Common Multiple (LCM) of 1266 and 1273 is 1611618.

LCM(1266,1273) = 1611618

LCM of 1266 and 1273

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

LCM of:
and

Least Common Multiple of 1266 and 1273

LCM of 1266 and 1273 is 1611618

Least common multiple can be found by multiplying the highest exponent prime factors of 1266 and 1273. First we will calculate the prime factors of 1266 and 1273.

Prime Factorization of 1266


2 1266
3 633
211 211
1

Prime factors of 1266 are 2, 3,211. Prime factorization of 1266 in exponential form is:

1266 = 21×31×2111

Prime Factorization of 1273


19 1273
67 67
1

Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:

1273 = 191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1266 and 1273.

LCM(1266,1273) = 21×31×191×671×2111
LCM(1266,1273) = 1611618

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1, 2, 3, 6, 211, 422, 633, 1266

Factors of 1273

List of positive integer factors of 1273 that divides 1273 without a remainder.

1, 19, 67, 1273

Least Common Multiple of 1266 and 1273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1266 and 1273, than apply into the LCM equation.

GCF(1266,1273) = 1
LCM(1266,1273) = ( 1266 × 1273) / 1
LCM(1266,1273) = 1611618 / 1
LCM(1266,1273) = 1611618

Properties of LCM 1266 and 1273

(i) The LCM of 1273 and 1266 is associative

LCM of 1266 and 1273 = LCM of 1273 and 1266

Related Least Common Multiples of 1266

Related Least Common Multiples of 1273

Frequently Asked Questions on LCM of 1266 and 1273

1. What is the LCM of 1266 and 1273?

Answer: LCM of 1266 and 1273 is 1611618.

2. What are the Factors of 1266?

Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.

3. What are the Factors of 1273?

Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.

4. How to Find the LCM of 1266 and 1273?

Answer:

Least Common Multiple of 1266 and 1273 = 1611618

Step 1: Find the prime factorization of 1266

1266 = 2 x 3 x 211

Step 2: Find the prime factorization of 1273

1273 = 19 x 67

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

LCM = 1611618 = 2 x 3 x 19 x 67 x 211

Step 4: Therefore, the least common multiple of 1266 and 1273 is 1611618.