Least Common Multiple of 10141 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 10141 and 10148 the smallest integer that is 102910868 that is divisible by both numbers.

Least Common Multiple (LCM) of 10141 and 10148 is 102910868.

LCM(10141,10148) = 102910868

LCM of 10141 and 10148

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

LCM of:
and

Least Common Multiple of 10141 and 10148

LCM of 10141 and 10148 is 102910868

Least common multiple can be found by multiplying the highest exponent prime factors of 10141 and 10148. First we will calculate the prime factors of 10141 and 10148.

Prime Factorization of 10141


10141 10141
1

Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:

10141 = 101411

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 10141 and 10148.

LCM(10141,10148) = 22×431×591×101411
LCM(10141,10148) = 102910868

Factors of 10141

List of positive integer factors of 10141 that divides 10141 without a remainder.

1, 10141

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 10141 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 10141 and 10148, than apply into the LCM equation.

GCF(10141,10148) = 1
LCM(10141,10148) = ( 10141 × 10148) / 1
LCM(10141,10148) = 102910868 / 1
LCM(10141,10148) = 102910868

Properties of LCM 10141 and 10148

(i) The LCM of 10148 and 10141 is associative

LCM of 10141 and 10148 = LCM of 10148 and 10141

Related Least Common Multiples of 10141

Related Least Common Multiples of 10148

Frequently Asked Questions on LCM of 10141 and 10148

1. What is the LCM of 10141 and 10148?

Answer: LCM of 10141 and 10148 is 102910868.

2. What are the Factors of 10141?

Answer: Factors of 10141 are 1, 10141. There are 2 integers that are factors of 10141. The greatest factor of 10141 is 10141.

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 10141 and 10148?

Answer:

Least Common Multiple of 10141 and 10148 = 102910868

Step 1: Find the prime factorization of 10141

10141 = 10141

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 = 102910868 = 2 x 2 x 43 x 59 x 10141

Step 4: Therefore, the least common multiple of 10141 and 10148 is 102910868.