Least Common Multiple of 348 and 350

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 350 the smallest integer that is 60900 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 350 is 60900.

LCM(348,350) = 60900

LCM of 348 and 350

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

LCM of:
and

Least Common Multiple of 348 and 350

LCM of 348 and 350 is 60900

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 350. First we will calculate the prime factors of 348 and 350.

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 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2, 5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 348 and 350.

LCM(348,350) = 22×31×52×71×291
LCM(348,350) = 60900

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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Least Common Multiple of 348 and 350 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 350, than apply into the LCM equation.

GCF(348,350) = 2
LCM(348,350) = ( 348 × 350) / 2
LCM(348,350) = 121800 / 2
LCM(348,350) = 60900

Properties of LCM 348 and 350

(i) The LCM of 350 and 348 is associative

LCM of 348 and 350 = LCM of 350 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 350

Frequently Asked Questions on LCM of 348 and 350

1. What is the LCM of 348 and 350?

Answer: LCM of 348 and 350 is 60900.

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 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

4. How to Find the LCM of 348 and 350?

Answer:

Least Common Multiple of 348 and 350 = 60900

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

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

LCM = 60900 = 2 x 2 x 3 x 5 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 348 and 350 is 60900.