Least Common Multiple of 7046 and 7050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7046 and 7050 the smallest integer that is 24837150 that is divisible by both numbers.

Least Common Multiple (LCM) of 7046 and 7050 is 24837150.

LCM(7046,7050) = 24837150

LCM of 7046 and 7050

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

LCM of:
and

Least Common Multiple of 7046 and 7050

LCM of 7046 and 7050 is 24837150

Least common multiple can be found by multiplying the highest exponent prime factors of 7046 and 7050. First we will calculate the prime factors of 7046 and 7050.

Prime Factorization of 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2, 13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

Prime Factorization of 7050


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2, 3, 5,47. Prime factorization of 7050 in exponential form is:

7050 = 21×31×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7046 and 7050.

LCM(7046,7050) = 21×31×52×131×471×2711
LCM(7046,7050) = 24837150

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1, 2, 13, 26, 271, 542, 3523, 7046

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050

Least Common Multiple of 7046 and 7050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7046 and 7050, than apply into the LCM equation.

GCF(7046,7050) = 2
LCM(7046,7050) = ( 7046 × 7050) / 2
LCM(7046,7050) = 49674300 / 2
LCM(7046,7050) = 24837150

Properties of LCM 7046 and 7050

(i) The LCM of 7050 and 7046 is associative

LCM of 7046 and 7050 = LCM of 7050 and 7046

Related Least Common Multiples of 7046

Related Least Common Multiples of 7050

Frequently Asked Questions on LCM of 7046 and 7050

1. What is the LCM of 7046 and 7050?

Answer: LCM of 7046 and 7050 is 24837150.

2. What are the Factors of 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

3. What are the Factors of 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

4. How to Find the LCM of 7046 and 7050?

Answer:

Least Common Multiple of 7046 and 7050 = 24837150

Step 1: Find the prime factorization of 7046

7046 = 2 x 13 x 271

Step 2: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

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

LCM = 24837150 = 2 x 3 x 5 x 5 x 13 x 47 x 271

Step 4: Therefore, the least common multiple of 7046 and 7050 is 24837150.