Least Common Multiple of 7150 and 7154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7150 and 7154 the smallest integer that is 25575550 that is divisible by both numbers.

Least Common Multiple (LCM) of 7150 and 7154 is 25575550.

LCM(7150,7154) = 25575550

LCM of 7150 and 7154

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

LCM of:
and

Least Common Multiple of 7150 and 7154

LCM of 7150 and 7154 is 25575550

Least common multiple can be found by multiplying the highest exponent prime factors of 7150 and 7154. First we will calculate the prime factors of 7150 and 7154.

Prime Factorization of 7150


2 7150
5 3575
5 715
11 143
13 13
1

Prime factors of 7150 are 2, 5, 11,13. Prime factorization of 7150 in exponential form is:

7150 = 21×52×111×131

Prime Factorization of 7154


2 7154
7 3577
7 511
73 73
1

Prime factors of 7154 are 2, 7,73. Prime factorization of 7154 in exponential form is:

7154 = 21×72×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7150 and 7154.

LCM(7150,7154) = 21×52×72×111×131×731
LCM(7150,7154) = 25575550

Factors of 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154

Least Common Multiple of 7150 and 7154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7150 and 7154, than apply into the LCM equation.

GCF(7150,7154) = 2
LCM(7150,7154) = ( 7150 × 7154) / 2
LCM(7150,7154) = 51151100 / 2
LCM(7150,7154) = 25575550

Properties of LCM 7150 and 7154

(i) The LCM of 7154 and 7150 is associative

LCM of 7150 and 7154 = LCM of 7154 and 7150

Related Least Common Multiples of 7150

Related Least Common Multiples of 7154

Frequently Asked Questions on LCM of 7150 and 7154

1. What is the LCM of 7150 and 7154?

Answer: LCM of 7150 and 7154 is 25575550.

2. What are the Factors of 7150?

Answer: Factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150. There are 24 integers that are factors of 7150. The greatest factor of 7150 is 7150.

3. What are the Factors of 7154?

Answer: Factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154. There are 12 integers that are factors of 7154. The greatest factor of 7154 is 7154.

4. How to Find the LCM of 7150 and 7154?

Answer:

Least Common Multiple of 7150 and 7154 = 25575550

Step 1: Find the prime factorization of 7150

7150 = 2 x 5 x 5 x 11 x 13

Step 2: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

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

LCM = 25575550 = 2 x 5 x 5 x 7 x 7 x 11 x 13 x 73

Step 4: Therefore, the least common multiple of 7150 and 7154 is 25575550.