Least Common Multiple of 347 and 355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 347 and 355 the smallest integer that is 123185 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 355 is 123185.

LCM(347,355) = 123185

LCM of 347 and 355

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

LCM of:
and

Least Common Multiple of 347 and 355

LCM of 347 and 355 is 123185

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 355. First we will calculate the prime factors of 347 and 355.

Prime Factorization of 347


347 347
1

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

347 = 3471

Prime Factorization of 355


5 355
71 71
1

Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:

355 = 51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 355.

LCM(347,355) = 51×711×3471
LCM(347,355) = 123185

Factors of 347

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

1, 347

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Least Common Multiple of 347 and 355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 355, than apply into the LCM equation.

GCF(347,355) = 1
LCM(347,355) = ( 347 × 355) / 1
LCM(347,355) = 123185 / 1
LCM(347,355) = 123185

Properties of LCM 347 and 355

(i) The LCM of 355 and 347 is associative

LCM of 347 and 355 = LCM of 355 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 347 and 355

1. What is the LCM of 347 and 355?

Answer: LCM of 347 and 355 is 123185.

2. 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.

3. What are the Factors of 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

4. How to Find the LCM of 347 and 355?

Answer:

Least Common Multiple of 347 and 355 = 123185

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 355

355 = 5 x 71

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

LCM = 123185 = 5 x 71 x 347

Step 4: Therefore, the least common multiple of 347 and 355 is 123185.