Least Common Multiple of 7356 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 7356 and 7363 the smallest integer that is 54162228 that is divisible by both numbers.

Least Common Multiple (LCM) of 7356 and 7363 is 54162228.

LCM(7356,7363) = 54162228

LCM of 7356 and 7363

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

LCM of:
and

Least Common Multiple of 7356 and 7363

LCM of 7356 and 7363 is 54162228

Least common multiple can be found by multiplying the highest exponent prime factors of 7356 and 7363. First we will calculate the prime factors of 7356 and 7363.

Prime Factorization of 7356


2 7356
2 3678
3 1839
613 613
1

Prime factors of 7356 are 2, 3,613. Prime factorization of 7356 in exponential form is:

7356 = 22×31×6131

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 7356 and 7363.

LCM(7356,7363) = 22×31×371×1991×6131
LCM(7356,7363) = 54162228

Factors of 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356

Factors of 7363

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

1, 37, 199, 7363

Least Common Multiple of 7356 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 7356 and 7363, than apply into the LCM equation.

GCF(7356,7363) = 1
LCM(7356,7363) = ( 7356 × 7363) / 1
LCM(7356,7363) = 54162228 / 1
LCM(7356,7363) = 54162228

Properties of LCM 7356 and 7363

(i) The LCM of 7363 and 7356 is associative

LCM of 7356 and 7363 = LCM of 7363 and 7356

Related Least Common Multiples of 7356

Related Least Common Multiples of 7363

Frequently Asked Questions on LCM of 7356 and 7363

1. What is the LCM of 7356 and 7363?

Answer: LCM of 7356 and 7363 is 54162228.

2. What are the Factors of 7356?

Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.

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 7356 and 7363?

Answer:

Least Common Multiple of 7356 and 7363 = 54162228

Step 1: Find the prime factorization of 7356

7356 = 2 x 2 x 3 x 613

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 = 54162228 = 2 x 2 x 3 x 37 x 199 x 613

Step 4: Therefore, the least common multiple of 7356 and 7363 is 54162228.