Least Common Multiple of 4354 and 4360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4354 and 4360 the smallest integer that is 9491720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4354 and 4360 is 9491720.

LCM(4354,4360) = 9491720

LCM of 4354 and 4360

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

LCM of:
and

Least Common Multiple of 4354 and 4360

LCM of 4354 and 4360 is 9491720

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4360. First we will calculate the prime factors of 4354 and 4360.

Prime Factorization of 4354


2 4354
7 2177
311 311
1

Prime factors of 4354 are 2, 7,311. Prime factorization of 4354 in exponential form is:

4354 = 21×71×3111

Prime Factorization of 4360


2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 4360 are 2, 5,109. Prime factorization of 4360 in exponential form is:

4360 = 23×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4360.

LCM(4354,4360) = 23×51×71×1091×3111
LCM(4354,4360) = 9491720

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1, 2, 7, 14, 311, 622, 2177, 4354

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360

Least Common Multiple of 4354 and 4360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4354 and 4360, than apply into the LCM equation.

GCF(4354,4360) = 2
LCM(4354,4360) = ( 4354 × 4360) / 2
LCM(4354,4360) = 18983440 / 2
LCM(4354,4360) = 9491720

Properties of LCM 4354 and 4360

(i) The LCM of 4360 and 4354 is associative

LCM of 4354 and 4360 = LCM of 4360 and 4354

Related Least Common Multiples of 4354

Related Least Common Multiples of 4360

Frequently Asked Questions on LCM of 4354 and 4360

1. What is the LCM of 4354 and 4360?

Answer: LCM of 4354 and 4360 is 9491720.

2. What are the Factors of 4354?

Answer: Factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354. There are 8 integers that are factors of 4354. The greatest factor of 4354 is 4354.

3. What are the Factors of 4360?

Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.

4. How to Find the LCM of 4354 and 4360?

Answer:

Least Common Multiple of 4354 and 4360 = 9491720

Step 1: Find the prime factorization of 4354

4354 = 2 x 7 x 311

Step 2: Find the prime factorization of 4360

4360 = 2 x 2 x 2 x 5 x 109

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

LCM = 9491720 = 2 x 2 x 2 x 5 x 7 x 109 x 311

Step 4: Therefore, the least common multiple of 4354 and 4360 is 9491720.