Least Common Multiple of 7355 and 7363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7355 and 7363 the smallest integer that is 54154865 that is divisible by both numbers.

Least Common Multiple (LCM) of 7355 and 7363 is 54154865.

LCM(7355,7363) = 54154865

LCM of 7355 and 7363

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

LCM of:
and

Least Common Multiple of 7355 and 7363

LCM of 7355 and 7363 is 54154865

Least common multiple can be found by multiplying the highest exponent prime factors of 7355 and 7363. First we will calculate the prime factors of 7355 and 7363.

Prime Factorization of 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

Prime Factorization of 7363


37 7363
199 199
1

Prime factors of 7363 are 37,199. Prime factorization of 7363 in exponential form is:

7363 = 371×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7355 and 7363.

LCM(7355,7363) = 51×371×1991×14711
LCM(7355,7363) = 54154865

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1, 5, 1471, 7355

Factors of 7363

List of positive integer factors of 7363 that divides 7363 without a remainder.

1, 37, 199, 7363

Least Common Multiple of 7355 and 7363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7355 and 7363, than apply into the LCM equation.

GCF(7355,7363) = 1
LCM(7355,7363) = ( 7355 × 7363) / 1
LCM(7355,7363) = 54154865 / 1
LCM(7355,7363) = 54154865

Properties of LCM 7355 and 7363

(i) The LCM of 7363 and 7355 is associative

LCM of 7355 and 7363 = LCM of 7363 and 7355

Related Least Common Multiples of 7355

Related Least Common Multiples of 7363

Frequently Asked Questions on LCM of 7355 and 7363

1. What is the LCM of 7355 and 7363?

Answer: LCM of 7355 and 7363 is 54154865.

2. What are the Factors of 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

3. What are the Factors of 7363?

Answer: Factors of 7363 are 1, 37, 199, 7363. There are 4 integers that are factors of 7363. The greatest factor of 7363 is 7363.

4. How to Find the LCM of 7355 and 7363?

Answer:

Least Common Multiple of 7355 and 7363 = 54154865

Step 1: Find the prime factorization of 7355

7355 = 5 x 1471

Step 2: Find the prime factorization of 7363

7363 = 37 x 199

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

LCM = 54154865 = 5 x 37 x 199 x 1471

Step 4: Therefore, the least common multiple of 7355 and 7363 is 54154865.