Least Common Multiple of 6148 and 6154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 6148 and 6154 the smallest integer that is 18917396 that is divisible by both numbers.

Least Common Multiple (LCM) of 6148 and 6154 is 18917396.

LCM(6148,6154) = 18917396

LCM of 6148 and 6154

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

LCM of:
and

Least Common Multiple of 6148 and 6154

LCM of 6148 and 6154 is 18917396

Least common multiple can be found by multiplying the highest exponent prime factors of 6148 and 6154. First we will calculate the prime factors of 6148 and 6154.

Prime Factorization of 6148


2 6148
2 3074
29 1537
53 53
1

Prime factors of 6148 are 2, 29,53. Prime factorization of 6148 in exponential form is:

6148 = 22×291×531

Prime Factorization of 6154


2 6154
17 3077
181 181
1

Prime factors of 6154 are 2, 17,181. Prime factorization of 6154 in exponential form is:

6154 = 21×171×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6148 and 6154.

LCM(6148,6154) = 22×171×291×531×1811
LCM(6148,6154) = 18917396

Factors of 6148

List of positive integer factors of 6148 that divides 6148 without a remainder.

1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148

Factors of 6154

List of positive integer factors of 6154 that divides 6154 without a remainder.

1, 2, 17, 34, 181, 362, 3077, 6154

Least Common Multiple of 6148 and 6154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6148 and 6154, than apply into the LCM equation.

GCF(6148,6154) = 2
LCM(6148,6154) = ( 6148 × 6154) / 2
LCM(6148,6154) = 37834792 / 2
LCM(6148,6154) = 18917396

Properties of LCM 6148 and 6154

(i) The LCM of 6154 and 6148 is associative

LCM of 6148 and 6154 = LCM of 6154 and 6148

Frequently Asked Questions on LCM of 6148 and 6154

1. What is the LCM of 6148 and 6154?

Answer: LCM of 6148 and 6154 is 18917396.

2. What are the Factors of 6148?

Answer: Factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148. There are 12 integers that are factors of 6148. The greatest factor of 6148 is 6148.

3. What are the Factors of 6154?

Answer: Factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154. There are 8 integers that are factors of 6154. The greatest factor of 6154 is 6154.

4. How to Find the LCM of 6148 and 6154?

Answer:

Least Common Multiple of 6148 and 6154 = 18917396

Step 1: Find the prime factorization of 6148

6148 = 2 x 2 x 29 x 53

Step 2: Find the prime factorization of 6154

6154 = 2 x 17 x 181

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

LCM = 18917396 = 2 x 2 x 17 x 29 x 53 x 181

Step 4: Therefore, the least common multiple of 6148 and 6154 is 18917396.