Least Common Multiple of 4362 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 4362 and 4367 the smallest integer that is 19048854 that is divisible by both numbers.

Least Common Multiple (LCM) of 4362 and 4367 is 19048854.

LCM(4362,4367) = 19048854

LCM of 4362 and 4367

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

LCM of:
and

Least Common Multiple of 4362 and 4367

LCM of 4362 and 4367 is 19048854

Least common multiple can be found by multiplying the highest exponent prime factors of 4362 and 4367. First we will calculate the prime factors of 4362 and 4367.

Prime Factorization of 4362


2 4362
3 2181
727 727
1

Prime factors of 4362 are 2, 3,727. Prime factorization of 4362 in exponential form is:

4362 = 21×31×7271

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 4362 and 4367.

LCM(4362,4367) = 21×31×111×3971×7271
LCM(4362,4367) = 19048854

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1, 2, 3, 6, 727, 1454, 2181, 4362

Factors of 4367

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

1, 11, 397, 4367

Least Common Multiple of 4362 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 4362 and 4367, than apply into the LCM equation.

GCF(4362,4367) = 1
LCM(4362,4367) = ( 4362 × 4367) / 1
LCM(4362,4367) = 19048854 / 1
LCM(4362,4367) = 19048854

Properties of LCM 4362 and 4367

(i) The LCM of 4367 and 4362 is associative

LCM of 4362 and 4367 = LCM of 4367 and 4362

Related Least Common Multiples of 4362

Related Least Common Multiples of 4367

Frequently Asked Questions on LCM of 4362 and 4367

1. What is the LCM of 4362 and 4367?

Answer: LCM of 4362 and 4367 is 19048854.

2. What are the Factors of 4362?

Answer: Factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362. There are 8 integers that are factors of 4362. The greatest factor of 4362 is 4362.

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 4362 and 4367?

Answer:

Least Common Multiple of 4362 and 4367 = 19048854

Step 1: Find the prime factorization of 4362

4362 = 2 x 3 x 727

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 = 19048854 = 2 x 3 x 11 x 397 x 727

Step 4: Therefore, the least common multiple of 4362 and 4367 is 19048854.