Least Common Multiple of 23366 and 23374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23366 and 23374 the smallest integer that is 273078442 that is divisible by both numbers.

Least Common Multiple (LCM) of 23366 and 23374 is 273078442.

LCM(23366,23374) = 273078442

LCM of 23366 and 23374

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

LCM of:
and

Least Common Multiple of 23366 and 23374

LCM of 23366 and 23374 is 273078442

Least common multiple can be found by multiplying the highest exponent prime factors of 23366 and 23374. First we will calculate the prime factors of 23366 and 23374.

Prime Factorization of 23366


2 23366
7 11683
1669 1669
1

Prime factors of 23366 are 2, 7,1669. Prime factorization of 23366 in exponential form is:

23366 = 21×71×16691

Prime Factorization of 23374


2 23374
13 11687
29 899
31 31
1

Prime factors of 23374 are 2, 13, 29,31. Prime factorization of 23374 in exponential form is:

23374 = 21×131×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 23366 and 23374.

LCM(23366,23374) = 21×71×131×291×311×16691
LCM(23366,23374) = 273078442

Factors of 23366

List of positive integer factors of 23366 that divides 23366 without a remainder.

1, 2, 7, 14, 1669, 3338, 11683, 23366

Factors of 23374

List of positive integer factors of 23374 that divides 23374 without a remainder.

1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687, 23374

Least Common Multiple of 23366 and 23374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23366 and 23374, than apply into the LCM equation.

GCF(23366,23374) = 2
LCM(23366,23374) = ( 23366 × 23374) / 2
LCM(23366,23374) = 546156884 / 2
LCM(23366,23374) = 273078442

Properties of LCM 23366 and 23374

(i) The LCM of 23374 and 23366 is associative

LCM of 23366 and 23374 = LCM of 23374 and 23366

Related Least Common Multiples of 23366

Related Least Common Multiples of 23374

Frequently Asked Questions on LCM of 23366 and 23374

1. What is the LCM of 23366 and 23374?

Answer: LCM of 23366 and 23374 is 273078442.

2. What are the Factors of 23366?

Answer: Factors of 23366 are 1, 2, 7, 14, 1669, 3338, 11683, 23366. There are 8 integers that are factors of 23366. The greatest factor of 23366 is 23366.

3. What are the Factors of 23374?

Answer: Factors of 23374 are 1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687, 23374. There are 16 integers that are factors of 23374. The greatest factor of 23374 is 23374.

4. How to Find the LCM of 23366 and 23374?

Answer:

Least Common Multiple of 23366 and 23374 = 273078442

Step 1: Find the prime factorization of 23366

23366 = 2 x 7 x 1669

Step 2: Find the prime factorization of 23374

23374 = 2 x 13 x 29 x 31

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

LCM = 273078442 = 2 x 7 x 13 x 29 x 31 x 1669

Step 4: Therefore, the least common multiple of 23366 and 23374 is 273078442.