Least Common Multiple of 6138 and 6146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6138 and 6146 the smallest integer that is 18862074 that is divisible by both numbers.

Least Common Multiple (LCM) of 6138 and 6146 is 18862074.

LCM(6138,6146) = 18862074

LCM of 6138 and 6146

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

LCM of:
and

Least Common Multiple of 6138 and 6146

LCM of 6138 and 6146 is 18862074

Least common multiple can be found by multiplying the highest exponent prime factors of 6138 and 6146. First we will calculate the prime factors of 6138 and 6146.

Prime Factorization of 6138


2 6138
3 3069
3 1023
11 341
31 31
1

Prime factors of 6138 are 2, 3, 11,31. Prime factorization of 6138 in exponential form is:

6138 = 21×32×111×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6138 and 6146.

LCM(6138,6146) = 21×32×71×111×311×4391
LCM(6138,6146) = 18862074

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138

Factors of 6146

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

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

Least Common Multiple of 6138 and 6146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6138 and 6146, than apply into the LCM equation.

GCF(6138,6146) = 2
LCM(6138,6146) = ( 6138 × 6146) / 2
LCM(6138,6146) = 37724148 / 2
LCM(6138,6146) = 18862074

Properties of LCM 6138 and 6146

(i) The LCM of 6146 and 6138 is associative

LCM of 6138 and 6146 = LCM of 6146 and 6138

Related Least Common Multiples of 6138

Related Least Common Multiples of 6146

Frequently Asked Questions on LCM of 6138 and 6146

1. What is the LCM of 6138 and 6146?

Answer: LCM of 6138 and 6146 is 18862074.

2. What are the Factors of 6138?

Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.

3. 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.

4. How to Find the LCM of 6138 and 6146?

Answer:

Least Common Multiple of 6138 and 6146 = 18862074

Step 1: Find the prime factorization of 6138

6138 = 2 x 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 6146

6146 = 2 x 7 x 439

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

LCM = 18862074 = 2 x 3 x 3 x 7 x 11 x 31 x 439

Step 4: Therefore, the least common multiple of 6138 and 6146 is 18862074.