Least Common Multiple of 23366 and 23370

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 23370 the smallest integer that is 273031710 that is divisible by both numbers.

Least Common Multiple (LCM) of 23366 and 23370 is 273031710.

LCM(23366,23370) = 273031710

LCM of 23366 and 23370

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

LCM of:
and

Least Common Multiple of 23366 and 23370

LCM of 23366 and 23370 is 273031710

Least common multiple can be found by multiplying the highest exponent prime factors of 23366 and 23370. First we will calculate the prime factors of 23366 and 23370.

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 23370


2 23370
3 11685
5 3895
19 779
41 41
1

Prime factors of 23370 are 2, 3, 5, 19,41. Prime factorization of 23370 in exponential form is:

23370 = 21×31×51×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 23366 and 23370.

LCM(23366,23370) = 21×31×51×71×191×411×16691
LCM(23366,23370) = 273031710

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 23370

List of positive integer factors of 23370 that divides 23370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685, 23370

Least Common Multiple of 23366 and 23370 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 23370, than apply into the LCM equation.

GCF(23366,23370) = 2
LCM(23366,23370) = ( 23366 × 23370) / 2
LCM(23366,23370) = 546063420 / 2
LCM(23366,23370) = 273031710

Properties of LCM 23366 and 23370

(i) The LCM of 23370 and 23366 is associative

LCM of 23366 and 23370 = LCM of 23370 and 23366

Related Least Common Multiples of 23366

Related Least Common Multiples of 23370

Frequently Asked Questions on LCM of 23366 and 23370

1. What is the LCM of 23366 and 23370?

Answer: LCM of 23366 and 23370 is 273031710.

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 23370?

Answer: Factors of 23370 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685, 23370. There are 32 integers that are factors of 23370. The greatest factor of 23370 is 23370.

4. How to Find the LCM of 23366 and 23370?

Answer:

Least Common Multiple of 23366 and 23370 = 273031710

Step 1: Find the prime factorization of 23366

23366 = 2 x 7 x 1669

Step 2: Find the prime factorization of 23370

23370 = 2 x 3 x 5 x 19 x 41

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

LCM = 273031710 = 2 x 3 x 5 x 7 x 19 x 41 x 1669

Step 4: Therefore, the least common multiple of 23366 and 23370 is 273031710.