Least Common Multiple of 26320 and 26327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26320 and 26327 the smallest integer that is 98989520 that is divisible by both numbers.

Least Common Multiple (LCM) of 26320 and 26327 is 98989520.

LCM(26320,26327) = 98989520

LCM of 26320 and 26327

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

LCM of:
and

Least Common Multiple of 26320 and 26327

LCM of 26320 and 26327 is 98989520

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26327. First we will calculate the prime factors of 26320 and 26327.

Prime Factorization of 26320


2 26320
2 13160
2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 26320 are 2, 5, 7,47. Prime factorization of 26320 in exponential form is:

26320 = 24×51×71×471

Prime Factorization of 26327


7 26327
3761 3761
1

Prime factors of 26327 are 7,3761. Prime factorization of 26327 in exponential form is:

26327 = 71×37611

Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26327.

LCM(26320,26327) = 24×51×71×471×37611
LCM(26320,26327) = 98989520

Factors of 26320

List of positive integer factors of 26320 that divides 26320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320

Factors of 26327

List of positive integer factors of 26327 that divides 26327 without a remainder.

1, 7, 3761, 26327

Least Common Multiple of 26320 and 26327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26320 and 26327, than apply into the LCM equation.

GCF(26320,26327) = 7
LCM(26320,26327) = ( 26320 × 26327) / 7
LCM(26320,26327) = 692926640 / 7
LCM(26320,26327) = 98989520

Properties of LCM 26320 and 26327

(i) The LCM of 26327 and 26320 is associative

LCM of 26320 and 26327 = LCM of 26327 and 26320

Related Least Common Multiples of 26320

Related Least Common Multiples of 26327

Frequently Asked Questions on LCM of 26320 and 26327

1. What is the LCM of 26320 and 26327?

Answer: LCM of 26320 and 26327 is 98989520.

2. What are the Factors of 26320?

Answer: Factors of 26320 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160, 26320. There are 40 integers that are factors of 26320. The greatest factor of 26320 is 26320.

3. What are the Factors of 26327?

Answer: Factors of 26327 are 1, 7, 3761, 26327. There are 4 integers that are factors of 26327. The greatest factor of 26327 is 26327.

4. How to Find the LCM of 26320 and 26327?

Answer:

Least Common Multiple of 26320 and 26327 = 98989520

Step 1: Find the prime factorization of 26320

26320 = 2 x 2 x 2 x 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 26327

26327 = 7 x 3761

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

LCM = 98989520 = 2 x 2 x 2 x 2 x 5 x 7 x 47 x 3761

Step 4: Therefore, the least common multiple of 26320 and 26327 is 98989520.