Least Common Multiple of 15343 and 15347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15343 and 15347 the smallest integer that is 235469021 that is divisible by both numbers.

Least Common Multiple (LCM) of 15343 and 15347 is 235469021.

LCM(15343,15347) = 235469021

LCM of 15343 and 15347

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

LCM of:
and

Least Common Multiple of 15343 and 15347

LCM of 15343 and 15347 is 235469021

Least common multiple can be found by multiplying the highest exponent prime factors of 15343 and 15347. First we will calculate the prime factors of 15343 and 15347.

Prime Factorization of 15343


67 15343
229 229
1

Prime factors of 15343 are 67,229. Prime factorization of 15343 in exponential form is:

15343 = 671×2291

Prime Factorization of 15347


103 15347
149 149
1

Prime factors of 15347 are 103,149. Prime factorization of 15347 in exponential form is:

15347 = 1031×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 15343 and 15347.

LCM(15343,15347) = 671×1031×1491×2291
LCM(15343,15347) = 235469021

Factors of 15343

List of positive integer factors of 15343 that divides 15343 without a remainder.

1, 67, 229, 15343

Factors of 15347

List of positive integer factors of 15347 that divides 15347 without a remainder.

1, 103, 149, 15347

Least Common Multiple of 15343 and 15347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15343 and 15347, than apply into the LCM equation.

GCF(15343,15347) = 1
LCM(15343,15347) = ( 15343 × 15347) / 1
LCM(15343,15347) = 235469021 / 1
LCM(15343,15347) = 235469021

Properties of LCM 15343 and 15347

(i) The LCM of 15347 and 15343 is associative

LCM of 15343 and 15347 = LCM of 15347 and 15343

Related Least Common Multiples of 15343

Related Least Common Multiples of 15347

Frequently Asked Questions on LCM of 15343 and 15347

1. What is the LCM of 15343 and 15347?

Answer: LCM of 15343 and 15347 is 235469021.

2. What are the Factors of 15343?

Answer: Factors of 15343 are 1, 67, 229, 15343. There are 4 integers that are factors of 15343. The greatest factor of 15343 is 15343.

3. What are the Factors of 15347?

Answer: Factors of 15347 are 1, 103, 149, 15347. There are 4 integers that are factors of 15347. The greatest factor of 15347 is 15347.

4. How to Find the LCM of 15343 and 15347?

Answer:

Least Common Multiple of 15343 and 15347 = 235469021

Step 1: Find the prime factorization of 15343

15343 = 67 x 229

Step 2: Find the prime factorization of 15347

15347 = 103 x 149

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

LCM = 235469021 = 67 x 103 x 149 x 229

Step 4: Therefore, the least common multiple of 15343 and 15347 is 235469021.