Least Common Multiple of 35223 and 35229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35223 and 35229 the smallest integer that is 413623689 that is divisible by both numbers.

Least Common Multiple (LCM) of 35223 and 35229 is 413623689.

LCM(35223,35229) = 413623689

LCM of 35223 and 35229

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

LCM of:
and

Least Common Multiple of 35223 and 35229

LCM of 35223 and 35229 is 413623689

Least common multiple can be found by multiplying the highest exponent prime factors of 35223 and 35229. First we will calculate the prime factors of 35223 and 35229.

Prime Factorization of 35223


3 35223
59 11741
199 199
1

Prime factors of 35223 are 3, 59,199. Prime factorization of 35223 in exponential form is:

35223 = 31×591×1991

Prime Factorization of 35229


3 35229
11743 11743
1

Prime factors of 35229 are 3,11743. Prime factorization of 35229 in exponential form is:

35229 = 31×117431

Now multiplying the highest exponent prime factors to calculate the LCM of 35223 and 35229.

LCM(35223,35229) = 31×591×1991×117431
LCM(35223,35229) = 413623689

Factors of 35223

List of positive integer factors of 35223 that divides 35223 without a remainder.

1, 3, 59, 177, 199, 597, 11741, 35223

Factors of 35229

List of positive integer factors of 35229 that divides 35229 without a remainder.

1, 3, 11743, 35229

Least Common Multiple of 35223 and 35229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35223 and 35229, than apply into the LCM equation.

GCF(35223,35229) = 3
LCM(35223,35229) = ( 35223 × 35229) / 3
LCM(35223,35229) = 1240871067 / 3
LCM(35223,35229) = 413623689

Properties of LCM 35223 and 35229

(i) The LCM of 35229 and 35223 is associative

LCM of 35223 and 35229 = LCM of 35229 and 35223

Related Least Common Multiples of 35223

Related Least Common Multiples of 35229

Frequently Asked Questions on LCM of 35223 and 35229

1. What is the LCM of 35223 and 35229?

Answer: LCM of 35223 and 35229 is 413623689.

2. What are the Factors of 35223?

Answer: Factors of 35223 are 1, 3, 59, 177, 199, 597, 11741, 35223. There are 8 integers that are factors of 35223. The greatest factor of 35223 is 35223.

3. What are the Factors of 35229?

Answer: Factors of 35229 are 1, 3, 11743, 35229. There are 4 integers that are factors of 35229. The greatest factor of 35229 is 35229.

4. How to Find the LCM of 35223 and 35229?

Answer:

Least Common Multiple of 35223 and 35229 = 413623689

Step 1: Find the prime factorization of 35223

35223 = 3 x 59 x 199

Step 2: Find the prime factorization of 35229

35229 = 3 x 11743

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

LCM = 413623689 = 3 x 59 x 199 x 11743

Step 4: Therefore, the least common multiple of 35223 and 35229 is 413623689.