Least Common Multiple of 4358 and 4364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4358 and 4364 the smallest integer that is 9509156 that is divisible by both numbers.

Least Common Multiple (LCM) of 4358 and 4364 is 9509156.

LCM(4358,4364) = 9509156

LCM of 4358 and 4364

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

LCM of:
and

Least Common Multiple of 4358 and 4364

LCM of 4358 and 4364 is 9509156

Least common multiple can be found by multiplying the highest exponent prime factors of 4358 and 4364. First we will calculate the prime factors of 4358 and 4364.

Prime Factorization of 4358


2 4358
2179 2179
1

Prime factors of 4358 are 2,2179. Prime factorization of 4358 in exponential form is:

4358 = 21×21791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4358 and 4364.

LCM(4358,4364) = 22×10911×21791
LCM(4358,4364) = 9509156

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1, 2, 2179, 4358

Factors of 4364

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

1, 2, 4, 1091, 2182, 4364

Least Common Multiple of 4358 and 4364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4358 and 4364, than apply into the LCM equation.

GCF(4358,4364) = 2
LCM(4358,4364) = ( 4358 × 4364) / 2
LCM(4358,4364) = 19018312 / 2
LCM(4358,4364) = 9509156

Properties of LCM 4358 and 4364

(i) The LCM of 4364 and 4358 is associative

LCM of 4358 and 4364 = LCM of 4364 and 4358

Related Least Common Multiples of 4358

Related Least Common Multiples of 4364

Frequently Asked Questions on LCM of 4358 and 4364

1. What is the LCM of 4358 and 4364?

Answer: LCM of 4358 and 4364 is 9509156.

2. What are the Factors of 4358?

Answer: Factors of 4358 are 1, 2, 2179, 4358. There are 4 integers that are factors of 4358. The greatest factor of 4358 is 4358.

3. 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.

4. How to Find the LCM of 4358 and 4364?

Answer:

Least Common Multiple of 4358 and 4364 = 9509156

Step 1: Find the prime factorization of 4358

4358 = 2 x 2179

Step 2: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

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

LCM = 9509156 = 2 x 2 x 1091 x 2179

Step 4: Therefore, the least common multiple of 4358 and 4364 is 9509156.