Least Common Multiple of 7359 and 7362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7359 and 7362 the smallest integer that is 18058986 that is divisible by both numbers.

Least Common Multiple (LCM) of 7359 and 7362 is 18058986.

LCM(7359,7362) = 18058986

LCM of 7359 and 7362

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

LCM of:
and

Least Common Multiple of 7359 and 7362

LCM of 7359 and 7362 is 18058986

Least common multiple can be found by multiplying the highest exponent prime factors of 7359 and 7362. First we will calculate the prime factors of 7359 and 7362.

Prime Factorization of 7359


3 7359
11 2453
223 223
1

Prime factors of 7359 are 3, 11,223. Prime factorization of 7359 in exponential form is:

7359 = 31×111×2231

Prime Factorization of 7362


2 7362
3 3681
3 1227
409 409
1

Prime factors of 7362 are 2, 3,409. Prime factorization of 7362 in exponential form is:

7362 = 21×32×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 7359 and 7362.

LCM(7359,7362) = 21×32×111×2231×4091
LCM(7359,7362) = 18058986

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1, 3, 11, 33, 223, 669, 2453, 7359

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362

Least Common Multiple of 7359 and 7362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7359 and 7362, than apply into the LCM equation.

GCF(7359,7362) = 3
LCM(7359,7362) = ( 7359 × 7362) / 3
LCM(7359,7362) = 54176958 / 3
LCM(7359,7362) = 18058986

Properties of LCM 7359 and 7362

(i) The LCM of 7362 and 7359 is associative

LCM of 7359 and 7362 = LCM of 7362 and 7359

Related Least Common Multiples of 7359

Related Least Common Multiples of 7362

Frequently Asked Questions on LCM of 7359 and 7362

1. What is the LCM of 7359 and 7362?

Answer: LCM of 7359 and 7362 is 18058986.

2. What are the Factors of 7359?

Answer: Factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359. There are 8 integers that are factors of 7359. The greatest factor of 7359 is 7359.

3. What are the Factors of 7362?

Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.

4. How to Find the LCM of 7359 and 7362?

Answer:

Least Common Multiple of 7359 and 7362 = 18058986

Step 1: Find the prime factorization of 7359

7359 = 3 x 11 x 223

Step 2: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

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

LCM = 18058986 = 2 x 3 x 3 x 11 x 223 x 409

Step 4: Therefore, the least common multiple of 7359 and 7362 is 18058986.