Least Common Multiple of 7358 and 7365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7358 and 7365 the smallest integer that is 54191670 that is divisible by both numbers.

Least Common Multiple (LCM) of 7358 and 7365 is 54191670.

LCM(7358,7365) = 54191670

LCM of 7358 and 7365

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

LCM of:
and

Least Common Multiple of 7358 and 7365

LCM of 7358 and 7365 is 54191670

Least common multiple can be found by multiplying the highest exponent prime factors of 7358 and 7365. First we will calculate the prime factors of 7358 and 7365.

Prime Factorization of 7358


2 7358
13 3679
283 283
1

Prime factors of 7358 are 2, 13,283. Prime factorization of 7358 in exponential form is:

7358 = 21×131×2831

Prime Factorization of 7365


3 7365
5 2455
491 491
1

Prime factors of 7365 are 3, 5,491. Prime factorization of 7365 in exponential form is:

7365 = 31×51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 7358 and 7365.

LCM(7358,7365) = 21×31×51×131×2831×4911
LCM(7358,7365) = 54191670

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1, 2, 13, 26, 283, 566, 3679, 7358

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1, 3, 5, 15, 491, 1473, 2455, 7365

Least Common Multiple of 7358 and 7365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7358 and 7365, than apply into the LCM equation.

GCF(7358,7365) = 1
LCM(7358,7365) = ( 7358 × 7365) / 1
LCM(7358,7365) = 54191670 / 1
LCM(7358,7365) = 54191670

Properties of LCM 7358 and 7365

(i) The LCM of 7365 and 7358 is associative

LCM of 7358 and 7365 = LCM of 7365 and 7358

Related Least Common Multiples of 7358

Related Least Common Multiples of 7365

Frequently Asked Questions on LCM of 7358 and 7365

1. What is the LCM of 7358 and 7365?

Answer: LCM of 7358 and 7365 is 54191670.

2. What are the Factors of 7358?

Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.

3. What are the Factors of 7365?

Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.

4. How to Find the LCM of 7358 and 7365?

Answer:

Least Common Multiple of 7358 and 7365 = 54191670

Step 1: Find the prime factorization of 7358

7358 = 2 x 13 x 283

Step 2: Find the prime factorization of 7365

7365 = 3 x 5 x 491

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

LCM = 54191670 = 2 x 3 x 5 x 13 x 283 x 491

Step 4: Therefore, the least common multiple of 7358 and 7365 is 54191670.