Least Common Multiple of 7142 and 7146

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 7146 the smallest integer that is 25518366 that is divisible by both numbers.

Least Common Multiple (LCM) of 7142 and 7146 is 25518366.

LCM(7142,7146) = 25518366

LCM of 7142 and 7146

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

LCM of:
and

Least Common Multiple of 7142 and 7146

LCM of 7142 and 7146 is 25518366

Least common multiple can be found by multiplying the highest exponent prime factors of 7142 and 7146. First we will calculate the prime factors of 7142 and 7146.

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 7146


2 7146
3 3573
3 1191
397 397
1

Prime factors of 7146 are 2, 3,397. Prime factorization of 7146 in exponential form is:

7146 = 21×32×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 7142 and 7146.

LCM(7142,7146) = 21×32×3971×35711
LCM(7142,7146) = 25518366

Factors of 7142

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

1, 2, 3571, 7142

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146

Least Common Multiple of 7142 and 7146 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 7146, than apply into the LCM equation.

GCF(7142,7146) = 2
LCM(7142,7146) = ( 7142 × 7146) / 2
LCM(7142,7146) = 51036732 / 2
LCM(7142,7146) = 25518366

Properties of LCM 7142 and 7146

(i) The LCM of 7146 and 7142 is associative

LCM of 7142 and 7146 = LCM of 7146 and 7142

Related Least Common Multiples of 7142

Related Least Common Multiples of 7146

Frequently Asked Questions on LCM of 7142 and 7146

1. What is the LCM of 7142 and 7146?

Answer: LCM of 7142 and 7146 is 25518366.

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 7146?

Answer: Factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146. There are 12 integers that are factors of 7146. The greatest factor of 7146 is 7146.

4. How to Find the LCM of 7142 and 7146?

Answer:

Least Common Multiple of 7142 and 7146 = 25518366

Step 1: Find the prime factorization of 7142

7142 = 2 x 3571

Step 2: Find the prime factorization of 7146

7146 = 2 x 3 x 3 x 397

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

LCM = 25518366 = 2 x 3 x 3 x 397 x 3571

Step 4: Therefore, the least common multiple of 7142 and 7146 is 25518366.