Least Common Multiple of 10142 and 10146

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 10146 the smallest integer that is 51450366 that is divisible by both numbers.

Least Common Multiple (LCM) of 10142 and 10146 is 51450366.

LCM(10142,10146) = 51450366

LCM of 10142 and 10146

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

LCM of:
and

Least Common Multiple of 10142 and 10146

LCM of 10142 and 10146 is 51450366

Least common multiple can be found by multiplying the highest exponent prime factors of 10142 and 10146. First we will calculate the prime factors of 10142 and 10146.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 10142 and 10146.

LCM(10142,10146) = 21×31×111×191×891×4611
LCM(10142,10146) = 51450366

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 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

Least Common Multiple of 10142 and 10146 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 10146, than apply into the LCM equation.

GCF(10142,10146) = 2
LCM(10142,10146) = ( 10142 × 10146) / 2
LCM(10142,10146) = 102900732 / 2
LCM(10142,10146) = 51450366

Properties of LCM 10142 and 10146

(i) The LCM of 10146 and 10142 is associative

LCM of 10142 and 10146 = LCM of 10146 and 10142

Related Least Common Multiples of 10142

Related Least Common Multiples of 10146

Frequently Asked Questions on LCM of 10142 and 10146

1. What is the LCM of 10142 and 10146?

Answer: LCM of 10142 and 10146 is 51450366.

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 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.

4. How to Find the LCM of 10142 and 10146?

Answer:

Least Common Multiple of 10142 and 10146 = 51450366

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10146

10146 = 2 x 3 x 19 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 = 51450366 = 2 x 3 x 11 x 19 x 89 x 461

Step 4: Therefore, the least common multiple of 10142 and 10146 is 51450366.