Least Common Multiple of 6173 and 6174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6173 and 6174 the smallest integer that is 38112102 that is divisible by both numbers.

Least Common Multiple (LCM) of 6173 and 6174 is 38112102.

LCM(6173,6174) = 38112102

LCM of 6173 and 6174

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

LCM of:
and

Least Common Multiple of 6173 and 6174

LCM of 6173 and 6174 is 38112102

Least common multiple can be found by multiplying the highest exponent prime factors of 6173 and 6174. First we will calculate the prime factors of 6173 and 6174.

Prime Factorization of 6173


6173 6173
1

Prime factors of 6173 are 6173. Prime factorization of 6173 in exponential form is:

6173 = 61731

Prime Factorization of 6174


2 6174
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 6174 are 2, 3,7. Prime factorization of 6174 in exponential form is:

6174 = 21×32×73

Now multiplying the highest exponent prime factors to calculate the LCM of 6173 and 6174.

LCM(6173,6174) = 21×32×73×61731
LCM(6173,6174) = 38112102

Factors of 6173

List of positive integer factors of 6173 that divides 6173 without a remainder.

1, 6173

Factors of 6174

List of positive integer factors of 6174 that divides 6174 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174

Least Common Multiple of 6173 and 6174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6173 and 6174, than apply into the LCM equation.

GCF(6173,6174) = 1
LCM(6173,6174) = ( 6173 × 6174) / 1
LCM(6173,6174) = 38112102 / 1
LCM(6173,6174) = 38112102

Properties of LCM 6173 and 6174

(i) The LCM of 6174 and 6173 is associative

LCM of 6173 and 6174 = LCM of 6174 and 6173

Related Least Common Multiples of 6173

Related Least Common Multiples of 6174

Frequently Asked Questions on LCM of 6173 and 6174

1. What is the LCM of 6173 and 6174?

Answer: LCM of 6173 and 6174 is 38112102.

2. What are the Factors of 6173?

Answer: Factors of 6173 are 1, 6173. There are 2 integers that are factors of 6173. The greatest factor of 6173 is 6173.

3. What are the Factors of 6174?

Answer: Factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174. There are 24 integers that are factors of 6174. The greatest factor of 6174 is 6174.

4. How to Find the LCM of 6173 and 6174?

Answer:

Least Common Multiple of 6173 and 6174 = 38112102

Step 1: Find the prime factorization of 6173

6173 = 6173

Step 2: Find the prime factorization of 6174

6174 = 2 x 3 x 3 x 7 x 7 x 7

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

LCM = 38112102 = 2 x 3 x 3 x 7 x 7 x 7 x 6173

Step 4: Therefore, the least common multiple of 6173 and 6174 is 38112102.