Least Common Multiple of 8344 and 8350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8344 and 8350 the smallest integer that is 34836200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8344 and 8350 is 34836200.

LCM(8344,8350) = 34836200

LCM of 8344 and 8350

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

LCM of:
and

Least Common Multiple of 8344 and 8350

LCM of 8344 and 8350 is 34836200

Least common multiple can be found by multiplying the highest exponent prime factors of 8344 and 8350. First we will calculate the prime factors of 8344 and 8350.

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2, 7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

Prime Factorization of 8350


2 8350
5 4175
5 835
167 167
1

Prime factors of 8350 are 2, 5,167. Prime factorization of 8350 in exponential form is:

8350 = 21×52×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8344 and 8350.

LCM(8344,8350) = 23×52×71×1491×1671
LCM(8344,8350) = 34836200

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350

Least Common Multiple of 8344 and 8350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8344 and 8350, than apply into the LCM equation.

GCF(8344,8350) = 2
LCM(8344,8350) = ( 8344 × 8350) / 2
LCM(8344,8350) = 69672400 / 2
LCM(8344,8350) = 34836200

Properties of LCM 8344 and 8350

(i) The LCM of 8350 and 8344 is associative

LCM of 8344 and 8350 = LCM of 8350 and 8344

Related Least Common Multiples of 8344

Related Least Common Multiples of 8350

Frequently Asked Questions on LCM of 8344 and 8350

1. What is the LCM of 8344 and 8350?

Answer: LCM of 8344 and 8350 is 34836200.

2. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

3. What are the Factors of 8350?

Answer: Factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350. There are 12 integers that are factors of 8350. The greatest factor of 8350 is 8350.

4. How to Find the LCM of 8344 and 8350?

Answer:

Least Common Multiple of 8344 and 8350 = 34836200

Step 1: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 8350

8350 = 2 x 5 x 5 x 167

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

LCM = 34836200 = 2 x 2 x 2 x 5 x 5 x 7 x 149 x 167

Step 4: Therefore, the least common multiple of 8344 and 8350 is 34836200.