Least Common Multiple of 350 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 350 and 355 the smallest integer that is 24850 that is divisible by both numbers.

Least Common Multiple (LCM) of 350 and 355 is 24850.

LCM(350,355) = 24850

LCM of 350 and 355

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

LCM of:
and

Least Common Multiple of 350 and 355

LCM of 350 and 355 is 24850

Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 355. First we will calculate the prime factors of 350 and 355.

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

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 350 and 355.

LCM(350,355) = 21×52×71×711
LCM(350,355) = 24850

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

Factors of 355

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

1, 5, 71, 355

Least Common Multiple of 350 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 350 and 355, than apply into the LCM equation.

GCF(350,355) = 5
LCM(350,355) = ( 350 × 355) / 5
LCM(350,355) = 124250 / 5
LCM(350,355) = 24850

Properties of LCM 350 and 355

(i) The LCM of 355 and 350 is associative

LCM of 350 and 355 = LCM of 355 and 350

Related Least Common Multiples of 350

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 350 and 355

1. What is the LCM of 350 and 355?

Answer: LCM of 350 and 355 is 24850.

2. 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.

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 350 and 355?

Answer:

Least Common Multiple of 350 and 355 = 24850

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

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 = 24850 = 2 x 5 x 5 x 7 x 71

Step 4: Therefore, the least common multiple of 350 and 355 is 24850.