Least Common Multiple of 1259 and 1264

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 1264 the smallest integer that is 1591376 that is divisible by both numbers.

Least Common Multiple (LCM) of 1259 and 1264 is 1591376.

LCM(1259,1264) = 1591376

LCM of 1259 and 1264

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

LCM of:
and

Least Common Multiple of 1259 and 1264

LCM of 1259 and 1264 is 1591376

Least common multiple can be found by multiplying the highest exponent prime factors of 1259 and 1264. First we will calculate the prime factors of 1259 and 1264.

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 1264


2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 1264 are 2,79. Prime factorization of 1264 in exponential form is:

1264 = 24×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1259 and 1264.

LCM(1259,1264) = 24×791×12591
LCM(1259,1264) = 1591376

Factors of 1259

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

1, 1259

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264

Least Common Multiple of 1259 and 1264 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 1264, than apply into the LCM equation.

GCF(1259,1264) = 1
LCM(1259,1264) = ( 1259 × 1264) / 1
LCM(1259,1264) = 1591376 / 1
LCM(1259,1264) = 1591376

Properties of LCM 1259 and 1264

(i) The LCM of 1264 and 1259 is associative

LCM of 1259 and 1264 = LCM of 1264 and 1259

Related Least Common Multiples of 1259

Related Least Common Multiples of 1264

Frequently Asked Questions on LCM of 1259 and 1264

1. What is the LCM of 1259 and 1264?

Answer: LCM of 1259 and 1264 is 1591376.

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 1264?

Answer: Factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264. There are 10 integers that are factors of 1264. The greatest factor of 1264 is 1264.

4. How to Find the LCM of 1259 and 1264?

Answer:

Least Common Multiple of 1259 and 1264 = 1591376

Step 1: Find the prime factorization of 1259

1259 = 1259

Step 2: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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

LCM = 1591376 = 2 x 2 x 2 x 2 x 79 x 1259

Step 4: Therefore, the least common multiple of 1259 and 1264 is 1591376.