Least Common Multiple of 4364 and 4368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4364 and 4368 the smallest integer that is 4765488 that is divisible by both numbers.

Least Common Multiple (LCM) of 4364 and 4368 is 4765488.

LCM(4364,4368) = 4765488

LCM of 4364 and 4368

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

LCM of:
and

Least Common Multiple of 4364 and 4368

LCM of 4364 and 4368 is 4765488

Least common multiple can be found by multiplying the highest exponent prime factors of 4364 and 4368. First we will calculate the prime factors of 4364 and 4368.

Prime Factorization of 4364


2 4364
2 2182
1091 1091
1

Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:

4364 = 22×10911

Prime Factorization of 4368


2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 4368 are 2, 3, 7,13. Prime factorization of 4368 in exponential form is:

4368 = 24×31×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4364 and 4368.

LCM(4364,4368) = 24×31×71×131×10911
LCM(4364,4368) = 4765488

Factors of 4364

List of positive integer factors of 4364 that divides 4364 without a remainder.

1, 2, 4, 1091, 2182, 4364

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368

Least Common Multiple of 4364 and 4368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4364 and 4368, than apply into the LCM equation.

GCF(4364,4368) = 4
LCM(4364,4368) = ( 4364 × 4368) / 4
LCM(4364,4368) = 19061952 / 4
LCM(4364,4368) = 4765488

Properties of LCM 4364 and 4368

(i) The LCM of 4368 and 4364 is associative

LCM of 4364 and 4368 = LCM of 4368 and 4364

Related Least Common Multiples of 4364

Related Least Common Multiples of 4368

Frequently Asked Questions on LCM of 4364 and 4368

1. What is the LCM of 4364 and 4368?

Answer: LCM of 4364 and 4368 is 4765488.

2. What are the Factors of 4364?

Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.

3. What are the Factors of 4368?

Answer: Factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368. There are 40 integers that are factors of 4368. The greatest factor of 4368 is 4368.

4. How to Find the LCM of 4364 and 4368?

Answer:

Least Common Multiple of 4364 and 4368 = 4765488

Step 1: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

Step 2: Find the prime factorization of 4368

4368 = 2 x 2 x 2 x 2 x 3 x 7 x 13

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

LCM = 4765488 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 1091

Step 4: Therefore, the least common multiple of 4364 and 4368 is 4765488.