Least Common Multiple of 6142 and 6149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6142 and 6149 the smallest integer that is 37767158 that is divisible by both numbers.

Least Common Multiple (LCM) of 6142 and 6149 is 37767158.

LCM(6142,6149) = 37767158

LCM of 6142 and 6149

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

LCM of:
and

Least Common Multiple of 6142 and 6149

LCM of 6142 and 6149 is 37767158

Least common multiple can be found by multiplying the highest exponent prime factors of 6142 and 6149. First we will calculate the prime factors of 6142 and 6149.

Prime Factorization of 6142


2 6142
37 3071
83 83
1

Prime factors of 6142 are 2, 37,83. Prime factorization of 6142 in exponential form is:

6142 = 21×371×831

Prime Factorization of 6149


11 6149
13 559
43 43
1

Prime factors of 6149 are 11, 13,43. Prime factorization of 6149 in exponential form is:

6149 = 111×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6142 and 6149.

LCM(6142,6149) = 21×111×131×371×431×831
LCM(6142,6149) = 37767158

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1, 2, 37, 74, 83, 166, 3071, 6142

Factors of 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1, 11, 13, 43, 143, 473, 559, 6149

Least Common Multiple of 6142 and 6149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6142 and 6149, than apply into the LCM equation.

GCF(6142,6149) = 1
LCM(6142,6149) = ( 6142 × 6149) / 1
LCM(6142,6149) = 37767158 / 1
LCM(6142,6149) = 37767158

Properties of LCM 6142 and 6149

(i) The LCM of 6149 and 6142 is associative

LCM of 6142 and 6149 = LCM of 6149 and 6142

Related Least Common Multiples of 6142

Related Least Common Multiples of 6149

Frequently Asked Questions on LCM of 6142 and 6149

1. What is the LCM of 6142 and 6149?

Answer: LCM of 6142 and 6149 is 37767158.

2. What are the Factors of 6142?

Answer: Factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142. There are 8 integers that are factors of 6142. The greatest factor of 6142 is 6142.

3. What are the Factors of 6149?

Answer: Factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149. There are 8 integers that are factors of 6149. The greatest factor of 6149 is 6149.

4. How to Find the LCM of 6142 and 6149?

Answer:

Least Common Multiple of 6142 and 6149 = 37767158

Step 1: Find the prime factorization of 6142

6142 = 2 x 37 x 83

Step 2: Find the prime factorization of 6149

6149 = 11 x 13 x 43

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

LCM = 37767158 = 2 x 11 x 13 x 37 x 43 x 83

Step 4: Therefore, the least common multiple of 6142 and 6149 is 37767158.