Least Common Multiple of 7148 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 7148 and 7154 the smallest integer that is 25568396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7148 and 7154 is 25568396.

LCM(7148,7154) = 25568396

LCM of 7148 and 7154

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

LCM of:
and

Least Common Multiple of 7148 and 7154

LCM of 7148 and 7154 is 25568396

Least common multiple can be found by multiplying the highest exponent prime factors of 7148 and 7154. First we will calculate the prime factors of 7148 and 7154.

Prime Factorization of 7148


2 7148
2 3574
1787 1787
1

Prime factors of 7148 are 2,1787. Prime factorization of 7148 in exponential form is:

7148 = 22×17871

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 7148 and 7154.

LCM(7148,7154) = 22×72×731×17871
LCM(7148,7154) = 25568396

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1, 2, 4, 1787, 3574, 7148

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 7148 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 7148 and 7154, than apply into the LCM equation.

GCF(7148,7154) = 2
LCM(7148,7154) = ( 7148 × 7154) / 2
LCM(7148,7154) = 51136792 / 2
LCM(7148,7154) = 25568396

Properties of LCM 7148 and 7154

(i) The LCM of 7154 and 7148 is associative

LCM of 7148 and 7154 = LCM of 7154 and 7148

Related Least Common Multiples of 7148

Related Least Common Multiples of 7154

Frequently Asked Questions on LCM of 7148 and 7154

1. What is the LCM of 7148 and 7154?

Answer: LCM of 7148 and 7154 is 25568396.

2. What are the Factors of 7148?

Answer: Factors of 7148 are 1, 2, 4, 1787, 3574, 7148. There are 6 integers that are factors of 7148. The greatest factor of 7148 is 7148.

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 7148 and 7154?

Answer:

Least Common Multiple of 7148 and 7154 = 25568396

Step 1: Find the prime factorization of 7148

7148 = 2 x 2 x 1787

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 = 25568396 = 2 x 2 x 7 x 7 x 73 x 1787

Step 4: Therefore, the least common multiple of 7148 and 7154 is 25568396.