Least Common Multiple of 346 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 346 and 347 the smallest integer that is 120062 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 347 is 120062.

LCM(346,347) = 120062

LCM of 346 and 347

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

LCM of:
and

Least Common Multiple of 346 and 347

LCM of 346 and 347 is 120062

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 347. First we will calculate the prime factors of 346 and 347.

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

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 346 and 347.

LCM(346,347) = 21×1731×3471
LCM(346,347) = 120062

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Factors of 347

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

1, 347

Least Common Multiple of 346 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 346 and 347, than apply into the LCM equation.

GCF(346,347) = 1
LCM(346,347) = ( 346 × 347) / 1
LCM(346,347) = 120062 / 1
LCM(346,347) = 120062

Properties of LCM 346 and 347

(i) The LCM of 347 and 346 is associative

LCM of 346 and 347 = LCM of 347 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 347

Frequently Asked Questions on LCM of 346 and 347

1. What is the LCM of 346 and 347?

Answer: LCM of 346 and 347 is 120062.

2. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

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 346 and 347?

Answer:

Least Common Multiple of 346 and 347 = 120062

Step 1: Find the prime factorization of 346

346 = 2 x 173

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 = 120062 = 2 x 173 x 347

Step 4: Therefore, the least common multiple of 346 and 347 is 120062.