Least Common Multiple of 10146 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 10146 and 10150 the smallest integer that is 51490950 that is divisible by both numbers.

Least Common Multiple (LCM) of 10146 and 10150 is 51490950.

LCM(10146,10150) = 51490950

LCM of 10146 and 10150

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

LCM of:
and

Least Common Multiple of 10146 and 10150

LCM of 10146 and 10150 is 51490950

Least common multiple can be found by multiplying the highest exponent prime factors of 10146 and 10150. First we will calculate the prime factors of 10146 and 10150.

Prime Factorization of 10146


2 10146
3 5073
19 1691
89 89
1

Prime factors of 10146 are 2, 3, 19,89. Prime factorization of 10146 in exponential form is:

10146 = 21×31×191×891

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 10146 and 10150.

LCM(10146,10150) = 21×31×52×71×191×291×891
LCM(10146,10150) = 51490950

Factors of 10146

List of positive integer factors of 10146 that divides 10146 without a remainder.

1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146

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 10146 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 10146 and 10150, than apply into the LCM equation.

GCF(10146,10150) = 2
LCM(10146,10150) = ( 10146 × 10150) / 2
LCM(10146,10150) = 102981900 / 2
LCM(10146,10150) = 51490950

Properties of LCM 10146 and 10150

(i) The LCM of 10150 and 10146 is associative

LCM of 10146 and 10150 = LCM of 10150 and 10146

Related Least Common Multiples of 10146

Related Least Common Multiples of 10150

Frequently Asked Questions on LCM of 10146 and 10150

1. What is the LCM of 10146 and 10150?

Answer: LCM of 10146 and 10150 is 51490950.

2. What are the Factors of 10146?

Answer: Factors of 10146 are 1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146. There are 16 integers that are factors of 10146. The greatest factor of 10146 is 10146.

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 10146 and 10150?

Answer:

Least Common Multiple of 10146 and 10150 = 51490950

Step 1: Find the prime factorization of 10146

10146 = 2 x 3 x 19 x 89

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 = 51490950 = 2 x 3 x 5 x 5 x 7 x 19 x 29 x 89

Step 4: Therefore, the least common multiple of 10146 and 10150 is 51490950.