Least Common Multiple of 10142 and 10150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10142 and 10150 the smallest integer that is 51470650 that is divisible by both numbers.

Least Common Multiple (LCM) of 10142 and 10150 is 51470650.

LCM(10142,10150) = 51470650

LCM of 10142 and 10150

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

LCM of:
and

Least Common Multiple of 10142 and 10150

LCM of 10142 and 10150 is 51470650

Least common multiple can be found by multiplying the highest exponent prime factors of 10142 and 10150. First we will calculate the prime factors of 10142 and 10150.

Prime Factorization of 10142


2 10142
11 5071
461 461
1

Prime factors of 10142 are 2, 11,461. Prime factorization of 10142 in exponential form is:

10142 = 21×111×4611

Prime Factorization of 10150


2 10150
5 5075
5 1015
7 203
29 29
1

Prime factors of 10150 are 2, 5, 7,29. Prime factorization of 10150 in exponential form is:

10150 = 21×52×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 10142 and 10150.

LCM(10142,10150) = 21×52×71×111×291×4611
LCM(10142,10150) = 51470650

Factors of 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1, 2, 11, 22, 461, 922, 5071, 10142

Factors of 10150

List of positive integer factors of 10150 that divides 10150 without a remainder.

1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150

Least Common Multiple of 10142 and 10150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10142 and 10150, than apply into the LCM equation.

GCF(10142,10150) = 2
LCM(10142,10150) = ( 10142 × 10150) / 2
LCM(10142,10150) = 102941300 / 2
LCM(10142,10150) = 51470650

Properties of LCM 10142 and 10150

(i) The LCM of 10150 and 10142 is associative

LCM of 10142 and 10150 = LCM of 10150 and 10142

Related Least Common Multiples of 10142

Related Least Common Multiples of 10150

Frequently Asked Questions on LCM of 10142 and 10150

1. What is the LCM of 10142 and 10150?

Answer: LCM of 10142 and 10150 is 51470650.

2. What are the Factors of 10142?

Answer: Factors of 10142 are 1, 2, 11, 22, 461, 922, 5071, 10142. There are 8 integers that are factors of 10142. The greatest factor of 10142 is 10142.

3. What are the Factors of 10150?

Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.

4. How to Find the LCM of 10142 and 10150?

Answer:

Least Common Multiple of 10142 and 10150 = 51470650

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

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

LCM = 51470650 = 2 x 5 x 5 x 7 x 11 x 29 x 461

Step 4: Therefore, the least common multiple of 10142 and 10150 is 51470650.