Least Common Multiple of 10342 and 10350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10342 and 10350 the smallest integer that is 53519850 that is divisible by both numbers.

Least Common Multiple (LCM) of 10342 and 10350 is 53519850.

LCM(10342,10350) = 53519850

LCM of 10342 and 10350

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

LCM of:
and

Least Common Multiple of 10342 and 10350

LCM of 10342 and 10350 is 53519850

Least common multiple can be found by multiplying the highest exponent prime factors of 10342 and 10350. First we will calculate the prime factors of 10342 and 10350.

Prime Factorization of 10342


2 10342
5171 5171
1

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 21×51711

Prime Factorization of 10350


2 10350
3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 10350 are 2, 3, 5,23. Prime factorization of 10350 in exponential form is:

10350 = 21×32×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 10342 and 10350.

LCM(10342,10350) = 21×32×52×231×51711
LCM(10342,10350) = 53519850

Factors of 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1, 2, 5171, 10342

Factors of 10350

List of positive integer factors of 10350 that divides 10350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175, 10350

Least Common Multiple of 10342 and 10350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10342 and 10350, than apply into the LCM equation.

GCF(10342,10350) = 2
LCM(10342,10350) = ( 10342 × 10350) / 2
LCM(10342,10350) = 107039700 / 2
LCM(10342,10350) = 53519850

Properties of LCM 10342 and 10350

(i) The LCM of 10350 and 10342 is associative

LCM of 10342 and 10350 = LCM of 10350 and 10342

Related Least Common Multiples of 10342

Related Least Common Multiples of 10350

Frequently Asked Questions on LCM of 10342 and 10350

1. What is the LCM of 10342 and 10350?

Answer: LCM of 10342 and 10350 is 53519850.

2. What are the Factors of 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

3. What are the Factors of 10350?

Answer: Factors of 10350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175, 10350. There are 36 integers that are factors of 10350. The greatest factor of 10350 is 10350.

4. How to Find the LCM of 10342 and 10350?

Answer:

Least Common Multiple of 10342 and 10350 = 53519850

Step 1: Find the prime factorization of 10342

10342 = 2 x 5171

Step 2: Find the prime factorization of 10350

10350 = 2 x 3 x 3 x 5 x 5 x 23

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

LCM = 53519850 = 2 x 3 x 3 x 5 x 5 x 23 x 5171

Step 4: Therefore, the least common multiple of 10342 and 10350 is 53519850.