Least Common Multiple of 26299 and 26304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26299 and 26304 the smallest integer that is 691768896 that is divisible by both numbers.

Least Common Multiple (LCM) of 26299 and 26304 is 691768896.

LCM(26299,26304) = 691768896

LCM of 26299 and 26304

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

LCM of:
and

Least Common Multiple of 26299 and 26304

LCM of 26299 and 26304 is 691768896

Least common multiple can be found by multiplying the highest exponent prime factors of 26299 and 26304. First we will calculate the prime factors of 26299 and 26304.

Prime Factorization of 26299


7 26299
13 3757
17 289
17 17
1

Prime factors of 26299 are 7, 13,17. Prime factorization of 26299 in exponential form is:

26299 = 71×131×172

Prime Factorization of 26304


2 26304
2 13152
2 6576
2 3288
2 1644
2 822
3 411
137 137
1

Prime factors of 26304 are 2, 3,137. Prime factorization of 26304 in exponential form is:

26304 = 26×31×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 26299 and 26304.

LCM(26299,26304) = 26×31×71×131×172×1371
LCM(26299,26304) = 691768896

Factors of 26299

List of positive integer factors of 26299 that divides 26299 without a remainder.

1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757, 26299

Factors of 26304

List of positive integer factors of 26304 that divides 26304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 137, 192, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152, 26304

Least Common Multiple of 26299 and 26304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26299 and 26304, than apply into the LCM equation.

GCF(26299,26304) = 1
LCM(26299,26304) = ( 26299 × 26304) / 1
LCM(26299,26304) = 691768896 / 1
LCM(26299,26304) = 691768896

Properties of LCM 26299 and 26304

(i) The LCM of 26304 and 26299 is associative

LCM of 26299 and 26304 = LCM of 26304 and 26299

Related Least Common Multiples of 26299

Related Least Common Multiples of 26304

Frequently Asked Questions on LCM of 26299 and 26304

1. What is the LCM of 26299 and 26304?

Answer: LCM of 26299 and 26304 is 691768896.

2. What are the Factors of 26299?

Answer: Factors of 26299 are 1, 7, 13, 17, 91, 119, 221, 289, 1547, 2023, 3757, 26299. There are 12 integers that are factors of 26299. The greatest factor of 26299 is 26299.

3. What are the Factors of 26304?

Answer: Factors of 26304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 137, 192, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152, 26304. There are 28 integers that are factors of 26304. The greatest factor of 26304 is 26304.

4. How to Find the LCM of 26299 and 26304?

Answer:

Least Common Multiple of 26299 and 26304 = 691768896

Step 1: Find the prime factorization of 26299

26299 = 7 x 13 x 17 x 17

Step 2: Find the prime factorization of 26304

26304 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 137

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

LCM = 691768896 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 x 17 x 137

Step 4: Therefore, the least common multiple of 26299 and 26304 is 691768896.