Least Common Multiple of 7142 and 7149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7142 and 7149 the smallest integer that is 51058158 that is divisible by both numbers.

Least Common Multiple (LCM) of 7142 and 7149 is 51058158.

LCM(7142,7149) = 51058158

LCM of 7142 and 7149

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

LCM of:
and

Least Common Multiple of 7142 and 7149

LCM of 7142 and 7149 is 51058158

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7149. First we will calculate the prime factors of 7142 and 7149.

Prime Factorization of 7142


2 7142
3571 3571
1

Prime factors of 7142 are 2,3571. Prime factorization of 7142 in exponential form is:

7142 = 21×35711

Prime Factorization of 7149


3 7149
2383 2383
1

Prime factors of 7149 are 3,2383. Prime factorization of 7149 in exponential form is:

7149 = 31×23831

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7149.

LCM(7142,7149) = 21×31×23831×35711
LCM(7142,7149) = 51058158

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1, 2, 3571, 7142

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1, 3, 2383, 7149

Least Common Multiple of 7142 and 7149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7142 and 7149, than apply into the LCM equation.

GCF(7142,7149) = 1
LCM(7142,7149) = ( 7142 × 7149) / 1
LCM(7142,7149) = 51058158 / 1
LCM(7142,7149) = 51058158

Properties of LCM 7142 and 7149

(i) The LCM of 7149 and 7142 is associative

LCM of 7142 and 7149 = LCM of 7149 and 7142

Related Least Common Multiples of 7142

Related Least Common Multiples of 7149

Frequently Asked Questions on LCM of 7142 and 7149

1. What is the LCM of 7142 and 7149?

Answer: LCM of 7142 and 7149 is 51058158.

2. What are the Factors of 7142?

Answer: Factors of 7142 are 1, 2, 3571, 7142. There are 4 integers that are factors of 7142. The greatest factor of 7142 is 7142.

3. What are the Factors of 7149?

Answer: Factors of 7149 are 1, 3, 2383, 7149. There are 4 integers that are factors of 7149. The greatest factor of 7149 is 7149.

4. How to Find the LCM of 7142 and 7149?

Answer:

Least Common Multiple of 7142 and 7149 = 51058158

Step 1: Find the prime factorization of 7142

7142 = 2 x 3571

Step 2: Find the prime factorization of 7149

7149 = 3 x 2383

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

LCM = 51058158 = 2 x 3 x 2383 x 3571

Step 4: Therefore, the least common multiple of 7142 and 7149 is 51058158.