Least Common Multiple of 4348 and 4354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4348 and 4354 the smallest integer that is 9465596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4348 and 4354 is 9465596.

LCM(4348,4354) = 9465596

LCM of 4348 and 4354

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

LCM of:
and

Least Common Multiple of 4348 and 4354

LCM of 4348 and 4354 is 9465596

Least common multiple can be found by multiplying the highest exponent prime factors of 4348 and 4354. First we will calculate the prime factors of 4348 and 4354.

Prime Factorization of 4348


2 4348
2 2174
1087 1087
1

Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:

4348 = 22×10871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4348 and 4354.

LCM(4348,4354) = 22×71×3111×10871
LCM(4348,4354) = 9465596

Factors of 4348

List of positive integer factors of 4348 that divides 4348 without a remainder.

1, 2, 4, 1087, 2174, 4348

Factors of 4354

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

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

Least Common Multiple of 4348 and 4354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4348 and 4354, than apply into the LCM equation.

GCF(4348,4354) = 2
LCM(4348,4354) = ( 4348 × 4354) / 2
LCM(4348,4354) = 18931192 / 2
LCM(4348,4354) = 9465596

Properties of LCM 4348 and 4354

(i) The LCM of 4354 and 4348 is associative

LCM of 4348 and 4354 = LCM of 4354 and 4348

Related Least Common Multiples of 4348

Related Least Common Multiples of 4354

Frequently Asked Questions on LCM of 4348 and 4354

1. What is the LCM of 4348 and 4354?

Answer: LCM of 4348 and 4354 is 9465596.

2. What are the Factors of 4348?

Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.

3. 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.

4. How to Find the LCM of 4348 and 4354?

Answer:

Least Common Multiple of 4348 and 4354 = 9465596

Step 1: Find the prime factorization of 4348

4348 = 2 x 2 x 1087

Step 2: Find the prime factorization of 4354

4354 = 2 x 7 x 311

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

LCM = 9465596 = 2 x 2 x 7 x 311 x 1087

Step 4: Therefore, the least common multiple of 4348 and 4354 is 9465596.