Least Common Multiple of 348 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 348 and 355 the smallest integer that is 123540 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 355 is 123540.

LCM(348,355) = 123540

LCM of 348 and 355

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

LCM of:
and

Least Common Multiple of 348 and 355

LCM of 348 and 355 is 123540

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 355. First we will calculate the prime factors of 348 and 355.

Prime Factorization of 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

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 348 and 355.

LCM(348,355) = 22×31×51×291×711
LCM(348,355) = 123540

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Factors of 355

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

1, 5, 71, 355

Least Common Multiple of 348 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 348 and 355, than apply into the LCM equation.

GCF(348,355) = 1
LCM(348,355) = ( 348 × 355) / 1
LCM(348,355) = 123540 / 1
LCM(348,355) = 123540

Properties of LCM 348 and 355

(i) The LCM of 355 and 348 is associative

LCM of 348 and 355 = LCM of 355 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 348 and 355

1. What is the LCM of 348 and 355?

Answer: LCM of 348 and 355 is 123540.

2. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

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 348 and 355?

Answer:

Least Common Multiple of 348 and 355 = 123540

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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 = 123540 = 2 x 2 x 3 x 5 x 29 x 71

Step 4: Therefore, the least common multiple of 348 and 355 is 123540.