Least Common Multiple of 7139 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 7139 and 7146 the smallest integer that is 51015294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7139 and 7146 is 51015294.

LCM(7139,7146) = 51015294

LCM of 7139 and 7146

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

LCM of:
and

Least Common Multiple of 7139 and 7146

LCM of 7139 and 7146 is 51015294

Least common multiple can be found by multiplying the highest exponent prime factors of 7139 and 7146. First we will calculate the prime factors of 7139 and 7146.

Prime Factorization of 7139


11 7139
11 649
59 59
1

Prime factors of 7139 are 11,59. Prime factorization of 7139 in exponential form is:

7139 = 112×591

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 7139 and 7146.

LCM(7139,7146) = 21×32×112×591×3971
LCM(7139,7146) = 51015294

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1, 11, 59, 121, 649, 7139

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 7139 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 7139 and 7146, than apply into the LCM equation.

GCF(7139,7146) = 1
LCM(7139,7146) = ( 7139 × 7146) / 1
LCM(7139,7146) = 51015294 / 1
LCM(7139,7146) = 51015294

Properties of LCM 7139 and 7146

(i) The LCM of 7146 and 7139 is associative

LCM of 7139 and 7146 = LCM of 7146 and 7139

Related Least Common Multiples of 7139

Related Least Common Multiples of 7146

Frequently Asked Questions on LCM of 7139 and 7146

1. What is the LCM of 7139 and 7146?

Answer: LCM of 7139 and 7146 is 51015294.

2. What are the Factors of 7139?

Answer: Factors of 7139 are 1, 11, 59, 121, 649, 7139. There are 6 integers that are factors of 7139. The greatest factor of 7139 is 7139.

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 7139 and 7146?

Answer:

Least Common Multiple of 7139 and 7146 = 51015294

Step 1: Find the prime factorization of 7139

7139 = 11 x 11 x 59

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 = 51015294 = 2 x 3 x 3 x 11 x 11 x 59 x 397

Step 4: Therefore, the least common multiple of 7139 and 7146 is 51015294.