Least Common Multiple of 345 and 347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 345 and 347 the smallest integer that is 119715 that is divisible by both numbers.

Least Common Multiple (LCM) of 345 and 347 is 119715.

LCM(345,347) = 119715

LCM of 345 and 347

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

LCM of:
and

Least Common Multiple of 345 and 347

LCM of 345 and 347 is 119715

Least common multiple can be found by multiplying the highest exponent prime factors of 345 and 347. First we will calculate the prime factors of 345 and 347.

Prime Factorization of 345


3 345
5 115
23 23
1

Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

Prime Factorization of 347


347 347
1

Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:

347 = 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 345 and 347.

LCM(345,347) = 31×51×231×3471
LCM(345,347) = 119715

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1, 347

Least Common Multiple of 345 and 347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 345 and 347, than apply into the LCM equation.

GCF(345,347) = 1
LCM(345,347) = ( 345 × 347) / 1
LCM(345,347) = 119715 / 1
LCM(345,347) = 119715

Properties of LCM 345 and 347

(i) The LCM of 347 and 345 is associative

LCM of 345 and 347 = LCM of 347 and 345

Related Least Common Multiples of 345

Related Least Common Multiples of 347

Frequently Asked Questions on LCM of 345 and 347

1. What is the LCM of 345 and 347?

Answer: LCM of 345 and 347 is 119715.

2. What are the Factors of 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

3. What are the Factors of 347?

Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.

4. How to Find the LCM of 345 and 347?

Answer:

Least Common Multiple of 345 and 347 = 119715

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

Step 2: Find the prime factorization of 347

347 = 347

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

LCM = 119715 = 3 x 5 x 23 x 347

Step 4: Therefore, the least common multiple of 345 and 347 is 119715.