Least Common Multiple of 6146 and 6152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6146 and 6152 the smallest integer that is 18905096 that is divisible by both numbers.

Least Common Multiple (LCM) of 6146 and 6152 is 18905096.

LCM(6146,6152) = 18905096

LCM of 6146 and 6152

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

LCM of:
and

Least Common Multiple of 6146 and 6152

LCM of 6146 and 6152 is 18905096

Least common multiple can be found by multiplying the highest exponent prime factors of 6146 and 6152. First we will calculate the prime factors of 6146 and 6152.

Prime Factorization of 6146


2 6146
7 3073
439 439
1

Prime factors of 6146 are 2, 7,439. Prime factorization of 6146 in exponential form is:

6146 = 21×71×4391

Prime Factorization of 6152


2 6152
2 3076
2 1538
769 769
1

Prime factors of 6152 are 2,769. Prime factorization of 6152 in exponential form is:

6152 = 23×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6146 and 6152.

LCM(6146,6152) = 23×71×4391×7691
LCM(6146,6152) = 18905096

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1, 2, 7, 14, 439, 878, 3073, 6146

Factors of 6152

List of positive integer factors of 6152 that divides 6152 without a remainder.

1, 2, 4, 8, 769, 1538, 3076, 6152

Least Common Multiple of 6146 and 6152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6146 and 6152, than apply into the LCM equation.

GCF(6146,6152) = 2
LCM(6146,6152) = ( 6146 × 6152) / 2
LCM(6146,6152) = 37810192 / 2
LCM(6146,6152) = 18905096

Properties of LCM 6146 and 6152

(i) The LCM of 6152 and 6146 is associative

LCM of 6146 and 6152 = LCM of 6152 and 6146

Related Least Common Multiples of 6146

Related Least Common Multiples of 6152

Frequently Asked Questions on LCM of 6146 and 6152

1. What is the LCM of 6146 and 6152?

Answer: LCM of 6146 and 6152 is 18905096.

2. What are the Factors of 6146?

Answer: Factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146. There are 8 integers that are factors of 6146. The greatest factor of 6146 is 6146.

3. What are the Factors of 6152?

Answer: Factors of 6152 are 1, 2, 4, 8, 769, 1538, 3076, 6152. There are 8 integers that are factors of 6152. The greatest factor of 6152 is 6152.

4. How to Find the LCM of 6146 and 6152?

Answer:

Least Common Multiple of 6146 and 6152 = 18905096

Step 1: Find the prime factorization of 6146

6146 = 2 x 7 x 439

Step 2: Find the prime factorization of 6152

6152 = 2 x 2 x 2 x 769

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

LCM = 18905096 = 2 x 2 x 2 x 7 x 439 x 769

Step 4: Therefore, the least common multiple of 6146 and 6152 is 18905096.