Least Common Multiple of 1259 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 1259 and 1267 the smallest integer that is 1595153 that is divisible by both numbers.

Least Common Multiple (LCM) of 1259 and 1267 is 1595153.

LCM(1259,1267) = 1595153

LCM of 1259 and 1267

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

LCM of:
and

Least Common Multiple of 1259 and 1267

LCM of 1259 and 1267 is 1595153

Least common multiple can be found by multiplying the highest exponent prime factors of 1259 and 1267. First we will calculate the prime factors of 1259 and 1267.

Prime Factorization of 1259


1259 1259
1

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 12591

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 1259 and 1267.

LCM(1259,1267) = 71×1811×12591
LCM(1259,1267) = 1595153

Factors of 1259

List of positive integer factors of 1259 that divides 1259 without a remainder.

1, 1259

Factors of 1267

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

1, 7, 181, 1267

Least Common Multiple of 1259 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 1259 and 1267, than apply into the LCM equation.

GCF(1259,1267) = 1
LCM(1259,1267) = ( 1259 × 1267) / 1
LCM(1259,1267) = 1595153 / 1
LCM(1259,1267) = 1595153

Properties of LCM 1259 and 1267

(i) The LCM of 1267 and 1259 is associative

LCM of 1259 and 1267 = LCM of 1267 and 1259

Related Least Common Multiples of 1259

Related Least Common Multiples of 1267

Frequently Asked Questions on LCM of 1259 and 1267

1. What is the LCM of 1259 and 1267?

Answer: LCM of 1259 and 1267 is 1595153.

2. What are the Factors of 1259?

Answer: Factors of 1259 are 1, 1259. There are 2 integers that are factors of 1259. The greatest factor of 1259 is 1259.

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 1259 and 1267?

Answer:

Least Common Multiple of 1259 and 1267 = 1595153

Step 1: Find the prime factorization of 1259

1259 = 1259

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 = 1595153 = 7 x 181 x 1259

Step 4: Therefore, the least common multiple of 1259 and 1267 is 1595153.