Least Common Multiple of 7154 and 7158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7154 and 7158 the smallest integer that is 25604166 that is divisible by both numbers.

Least Common Multiple (LCM) of 7154 and 7158 is 25604166.

LCM(7154,7158) = 25604166

LCM of 7154 and 7158

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

LCM of:
and

Least Common Multiple of 7154 and 7158

LCM of 7154 and 7158 is 25604166

Least common multiple can be found by multiplying the highest exponent prime factors of 7154 and 7158. First we will calculate the prime factors of 7154 and 7158.

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

Prime Factorization of 7158


2 7158
3 3579
1193 1193
1

Prime factors of 7158 are 2, 3,1193. Prime factorization of 7158 in exponential form is:

7158 = 21×31×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 7154 and 7158.

LCM(7154,7158) = 21×31×72×731×11931
LCM(7154,7158) = 25604166

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

Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1, 2, 3, 6, 1193, 2386, 3579, 7158

Least Common Multiple of 7154 and 7158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7154 and 7158, than apply into the LCM equation.

GCF(7154,7158) = 2
LCM(7154,7158) = ( 7154 × 7158) / 2
LCM(7154,7158) = 51208332 / 2
LCM(7154,7158) = 25604166

Properties of LCM 7154 and 7158

(i) The LCM of 7158 and 7154 is associative

LCM of 7154 and 7158 = LCM of 7158 and 7154

Related Least Common Multiples of 7154

Related Least Common Multiples of 7158

Frequently Asked Questions on LCM of 7154 and 7158

1. What is the LCM of 7154 and 7158?

Answer: LCM of 7154 and 7158 is 25604166.

2. 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.

3. What are the Factors of 7158?

Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.

4. How to Find the LCM of 7154 and 7158?

Answer:

Least Common Multiple of 7154 and 7158 = 25604166

Step 1: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

Step 2: Find the prime factorization of 7158

7158 = 2 x 3 x 1193

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

LCM = 25604166 = 2 x 3 x 7 x 7 x 73 x 1193

Step 4: Therefore, the least common multiple of 7154 and 7158 is 25604166.