Least Common Multiple of 10319 and 10324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10319 and 10324 the smallest integer that is 106533356 that is divisible by both numbers.

Least Common Multiple (LCM) of 10319 and 10324 is 106533356.

LCM(10319,10324) = 106533356

LCM of 10319 and 10324

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

LCM of:
and

Least Common Multiple of 10319 and 10324

LCM of 10319 and 10324 is 106533356

Least common multiple can be found by multiplying the highest exponent prime factors of 10319 and 10324. First we will calculate the prime factors of 10319 and 10324.

Prime Factorization of 10319


17 10319
607 607
1

Prime factors of 10319 are 17,607. Prime factorization of 10319 in exponential form is:

10319 = 171×6071

Prime Factorization of 10324


2 10324
2 5162
29 2581
89 89
1

Prime factors of 10324 are 2, 29,89. Prime factorization of 10324 in exponential form is:

10324 = 22×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10319 and 10324.

LCM(10319,10324) = 22×171×291×891×6071
LCM(10319,10324) = 106533356

Factors of 10319

List of positive integer factors of 10319 that divides 10319 without a remainder.

1, 17, 607, 10319

Factors of 10324

List of positive integer factors of 10324 that divides 10324 without a remainder.

1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324

Least Common Multiple of 10319 and 10324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10319 and 10324, than apply into the LCM equation.

GCF(10319,10324) = 1
LCM(10319,10324) = ( 10319 × 10324) / 1
LCM(10319,10324) = 106533356 / 1
LCM(10319,10324) = 106533356

Properties of LCM 10319 and 10324

(i) The LCM of 10324 and 10319 is associative

LCM of 10319 and 10324 = LCM of 10324 and 10319

Related Least Common Multiples of 10319

Related Least Common Multiples of 10324

Frequently Asked Questions on LCM of 10319 and 10324

1. What is the LCM of 10319 and 10324?

Answer: LCM of 10319 and 10324 is 106533356.

2. What are the Factors of 10319?

Answer: Factors of 10319 are 1, 17, 607, 10319. There are 4 integers that are factors of 10319. The greatest factor of 10319 is 10319.

3. What are the Factors of 10324?

Answer: Factors of 10324 are 1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324. There are 12 integers that are factors of 10324. The greatest factor of 10324 is 10324.

4. How to Find the LCM of 10319 and 10324?

Answer:

Least Common Multiple of 10319 and 10324 = 106533356

Step 1: Find the prime factorization of 10319

10319 = 17 x 607

Step 2: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

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

LCM = 106533356 = 2 x 2 x 17 x 29 x 89 x 607

Step 4: Therefore, the least common multiple of 10319 and 10324 is 106533356.