Least Common Multiple of 4363 and 4367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4363 and 4367 the smallest integer that is 19053221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4363 and 4367 is 19053221.

LCM(4363,4367) = 19053221

LCM of 4363 and 4367

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

LCM of:
and

Least Common Multiple of 4363 and 4367

LCM of 4363 and 4367 is 19053221

Least common multiple can be found by multiplying the highest exponent prime factors of 4363 and 4367. First we will calculate the prime factors of 4363 and 4367.

Prime Factorization of 4363


4363 4363
1

Prime factors of 4363 are 4363. Prime factorization of 4363 in exponential form is:

4363 = 43631

Prime Factorization of 4367


11 4367
397 397
1

Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:

4367 = 111×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 4363 and 4367.

LCM(4363,4367) = 111×3971×43631
LCM(4363,4367) = 19053221

Factors of 4363

List of positive integer factors of 4363 that divides 4363 without a remainder.

1, 4363

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1, 11, 397, 4367

Least Common Multiple of 4363 and 4367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4363 and 4367, than apply into the LCM equation.

GCF(4363,4367) = 1
LCM(4363,4367) = ( 4363 × 4367) / 1
LCM(4363,4367) = 19053221 / 1
LCM(4363,4367) = 19053221

Properties of LCM 4363 and 4367

(i) The LCM of 4367 and 4363 is associative

LCM of 4363 and 4367 = LCM of 4367 and 4363

Frequently Asked Questions on LCM of 4363 and 4367

1. What is the LCM of 4363 and 4367?

Answer: LCM of 4363 and 4367 is 19053221.

2. What are the Factors of 4363?

Answer: Factors of 4363 are 1, 4363. There are 2 integers that are factors of 4363. The greatest factor of 4363 is 4363.

3. What are the Factors of 4367?

Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.

4. How to Find the LCM of 4363 and 4367?

Answer:

Least Common Multiple of 4363 and 4367 = 19053221

Step 1: Find the prime factorization of 4363

4363 = 4363

Step 2: Find the prime factorization of 4367

4367 = 11 x 397

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

LCM = 19053221 = 11 x 397 x 4363

Step 4: Therefore, the least common multiple of 4363 and 4367 is 19053221.