Least Common Multiple of 344 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 344 and 347 the smallest integer that is 119368 that is divisible by both numbers.

Least Common Multiple (LCM) of 344 and 347 is 119368.

LCM(344,347) = 119368

LCM of 344 and 347

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

LCM of:
and

Least Common Multiple of 344 and 347

LCM of 344 and 347 is 119368

Least common multiple can be found by multiplying the highest exponent prime factors of 344 and 347. First we will calculate the prime factors of 344 and 347.

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

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 344 and 347.

LCM(344,347) = 23×431×3471
LCM(344,347) = 119368

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Factors of 347

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

1, 347

Least Common Multiple of 344 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 344 and 347, than apply into the LCM equation.

GCF(344,347) = 1
LCM(344,347) = ( 344 × 347) / 1
LCM(344,347) = 119368 / 1
LCM(344,347) = 119368

Properties of LCM 344 and 347

(i) The LCM of 347 and 344 is associative

LCM of 344 and 347 = LCM of 347 and 344

Related Least Common Multiples of 344

Related Least Common Multiples of 347

Frequently Asked Questions on LCM of 344 and 347

1. What is the LCM of 344 and 347?

Answer: LCM of 344 and 347 is 119368.

2. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

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 344 and 347?

Answer:

Least Common Multiple of 344 and 347 = 119368

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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 = 119368 = 2 x 2 x 2 x 43 x 347

Step 4: Therefore, the least common multiple of 344 and 347 is 119368.