Least Common Multiple of 4351 and 4357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4351 and 4357 the smallest integer that is 18957307 that is divisible by both numbers.

Least Common Multiple (LCM) of 4351 and 4357 is 18957307.

LCM(4351,4357) = 18957307

LCM of 4351 and 4357

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

LCM of:
and

Least Common Multiple of 4351 and 4357

LCM of 4351 and 4357 is 18957307

Least common multiple can be found by multiplying the highest exponent prime factors of 4351 and 4357. First we will calculate the prime factors of 4351 and 4357.

Prime Factorization of 4351


19 4351
229 229
1

Prime factors of 4351 are 19,229. Prime factorization of 4351 in exponential form is:

4351 = 191×2291

Prime Factorization of 4357


4357 4357
1

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 4351 and 4357.

LCM(4351,4357) = 191×2291×43571
LCM(4351,4357) = 18957307

Factors of 4351

List of positive integer factors of 4351 that divides 4351 without a remainder.

1, 19, 229, 4351

Factors of 4357

List of positive integer factors of 4357 that divides 4357 without a remainder.

1, 4357

Least Common Multiple of 4351 and 4357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4351 and 4357, than apply into the LCM equation.

GCF(4351,4357) = 1
LCM(4351,4357) = ( 4351 × 4357) / 1
LCM(4351,4357) = 18957307 / 1
LCM(4351,4357) = 18957307

Properties of LCM 4351 and 4357

(i) The LCM of 4357 and 4351 is associative

LCM of 4351 and 4357 = LCM of 4357 and 4351

Related Least Common Multiples of 4351

Related Least Common Multiples of 4357

Frequently Asked Questions on LCM of 4351 and 4357

1. What is the LCM of 4351 and 4357?

Answer: LCM of 4351 and 4357 is 18957307.

2. What are the Factors of 4351?

Answer: Factors of 4351 are 1, 19, 229, 4351. There are 4 integers that are factors of 4351. The greatest factor of 4351 is 4351.

3. What are the Factors of 4357?

Answer: Factors of 4357 are 1, 4357. There are 2 integers that are factors of 4357. The greatest factor of 4357 is 4357.

4. How to Find the LCM of 4351 and 4357?

Answer:

Least Common Multiple of 4351 and 4357 = 18957307

Step 1: Find the prime factorization of 4351

4351 = 19 x 229

Step 2: Find the prime factorization of 4357

4357 = 4357

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

LCM = 18957307 = 19 x 229 x 4357

Step 4: Therefore, the least common multiple of 4351 and 4357 is 18957307.