Least Common Multiple of 6170 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 6170 and 6174 the smallest integer that is 19046790 that is divisible by both numbers.

Least Common Multiple (LCM) of 6170 and 6174 is 19046790.

LCM(6170,6174) = 19046790

LCM of 6170 and 6174

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

LCM of:
and

Least Common Multiple of 6170 and 6174

LCM of 6170 and 6174 is 19046790

Least common multiple can be found by multiplying the highest exponent prime factors of 6170 and 6174. First we will calculate the prime factors of 6170 and 6174.

Prime Factorization of 6170


2 6170
5 3085
617 617
1

Prime factors of 6170 are 2, 5,617. Prime factorization of 6170 in exponential form is:

6170 = 21×51×6171

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 6170 and 6174.

LCM(6170,6174) = 21×32×51×73×6171
LCM(6170,6174) = 19046790

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1, 2, 5, 10, 617, 1234, 3085, 6170

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 6170 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 6170 and 6174, than apply into the LCM equation.

GCF(6170,6174) = 2
LCM(6170,6174) = ( 6170 × 6174) / 2
LCM(6170,6174) = 38093580 / 2
LCM(6170,6174) = 19046790

Properties of LCM 6170 and 6174

(i) The LCM of 6174 and 6170 is associative

LCM of 6170 and 6174 = LCM of 6174 and 6170

Related Least Common Multiples of 6170

Related Least Common Multiples of 6174

Frequently Asked Questions on LCM of 6170 and 6174

1. What is the LCM of 6170 and 6174?

Answer: LCM of 6170 and 6174 is 19046790.

2. What are the Factors of 6170?

Answer: Factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170. There are 8 integers that are factors of 6170. The greatest factor of 6170 is 6170.

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 6170 and 6174?

Answer:

Least Common Multiple of 6170 and 6174 = 19046790

Step 1: Find the prime factorization of 6170

6170 = 2 x 5 x 617

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 = 19046790 = 2 x 3 x 3 x 5 x 7 x 7 x 7 x 617

Step 4: Therefore, the least common multiple of 6170 and 6174 is 19046790.