Least Common Multiple of 23374 and 23380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23374 and 23380 the smallest integer that is 273242060 that is divisible by both numbers.

Least Common Multiple (LCM) of 23374 and 23380 is 273242060.

LCM(23374,23380) = 273242060

LCM of 23374 and 23380

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

LCM of:
and

Least Common Multiple of 23374 and 23380

LCM of 23374 and 23380 is 273242060

Least common multiple can be found by multiplying the highest exponent prime factors of 23374 and 23380. First we will calculate the prime factors of 23374 and 23380.

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

Prime Factorization of 23380


2 23380
2 11690
5 5845
7 1169
167 167
1

Prime factors of 23380 are 2, 5, 7,167. Prime factorization of 23380 in exponential form is:

23380 = 22×51×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 23374 and 23380.

LCM(23374,23380) = 22×51×71×131×291×311×1671
LCM(23374,23380) = 273242060

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

Factors of 23380

List of positive integer factors of 23380 that divides 23380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690, 23380

Least Common Multiple of 23374 and 23380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23374 and 23380, than apply into the LCM equation.

GCF(23374,23380) = 2
LCM(23374,23380) = ( 23374 × 23380) / 2
LCM(23374,23380) = 546484120 / 2
LCM(23374,23380) = 273242060

Properties of LCM 23374 and 23380

(i) The LCM of 23380 and 23374 is associative

LCM of 23374 and 23380 = LCM of 23380 and 23374

Related Least Common Multiples of 23374

Related Least Common Multiples of 23380

Frequently Asked Questions on LCM of 23374 and 23380

1. What is the LCM of 23374 and 23380?

Answer: LCM of 23374 and 23380 is 273242060.

2. 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.

3. What are the Factors of 23380?

Answer: Factors of 23380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690, 23380. There are 24 integers that are factors of 23380. The greatest factor of 23380 is 23380.

4. How to Find the LCM of 23374 and 23380?

Answer:

Least Common Multiple of 23374 and 23380 = 273242060

Step 1: Find the prime factorization of 23374

23374 = 2 x 13 x 29 x 31

Step 2: Find the prime factorization of 23380

23380 = 2 x 2 x 5 x 7 x 167

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

LCM = 273242060 = 2 x 2 x 5 x 7 x 13 x 29 x 31 x 167

Step 4: Therefore, the least common multiple of 23374 and 23380 is 273242060.