Least Common Multiple of 10142 and 10148

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 10148 the smallest integer that is 51460508 that is divisible by both numbers.

Least Common Multiple (LCM) of 10142 and 10148 is 51460508.

LCM(10142,10148) = 51460508

LCM of 10142 and 10148

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

LCM of:
and

Least Common Multiple of 10142 and 10148

LCM of 10142 and 10148 is 51460508

Least common multiple can be found by multiplying the highest exponent prime factors of 10142 and 10148. First we will calculate the prime factors of 10142 and 10148.

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 10148


2 10148
2 5074
43 2537
59 59
1

Prime factors of 10148 are 2, 43,59. Prime factorization of 10148 in exponential form is:

10148 = 22×431×591

Now multiplying the highest exponent prime factors to calculate the LCM of 10142 and 10148.

LCM(10142,10148) = 22×111×431×591×4611
LCM(10142,10148) = 51460508

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 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148

Least Common Multiple of 10142 and 10148 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 10148, than apply into the LCM equation.

GCF(10142,10148) = 2
LCM(10142,10148) = ( 10142 × 10148) / 2
LCM(10142,10148) = 102921016 / 2
LCM(10142,10148) = 51460508

Properties of LCM 10142 and 10148

(i) The LCM of 10148 and 10142 is associative

LCM of 10142 and 10148 = LCM of 10148 and 10142

Related Least Common Multiples of 10142

Related Least Common Multiples of 10148

Frequently Asked Questions on LCM of 10142 and 10148

1. What is the LCM of 10142 and 10148?

Answer: LCM of 10142 and 10148 is 51460508.

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 10148?

Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.

4. How to Find the LCM of 10142 and 10148?

Answer:

Least Common Multiple of 10142 and 10148 = 51460508

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10148

10148 = 2 x 2 x 43 x 59

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

LCM = 51460508 = 2 x 2 x 11 x 43 x 59 x 461

Step 4: Therefore, the least common multiple of 10142 and 10148 is 51460508.