Least Common Multiple of 2174 and 2177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2174 and 2177 the smallest integer that is 4732798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2174 and 2177 is 4732798.

LCM(2174,2177) = 4732798

LCM of 2174 and 2177

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

LCM of:
and

Least Common Multiple of 2174 and 2177

LCM of 2174 and 2177 is 4732798

Least common multiple can be found by multiplying the highest exponent prime factors of 2174 and 2177. First we will calculate the prime factors of 2174 and 2177.

Prime Factorization of 2174


2 2174
1087 1087
1

Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:

2174 = 21×10871

Prime Factorization of 2177


7 2177
311 311
1

Prime factors of 2177 are 7,311. Prime factorization of 2177 in exponential form is:

2177 = 71×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 2174 and 2177.

LCM(2174,2177) = 21×71×3111×10871
LCM(2174,2177) = 4732798

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1, 2, 1087, 2174

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1, 7, 311, 2177

Least Common Multiple of 2174 and 2177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2174 and 2177, than apply into the LCM equation.

GCF(2174,2177) = 1
LCM(2174,2177) = ( 2174 × 2177) / 1
LCM(2174,2177) = 4732798 / 1
LCM(2174,2177) = 4732798

Properties of LCM 2174 and 2177

(i) The LCM of 2177 and 2174 is associative

LCM of 2174 and 2177 = LCM of 2177 and 2174

Related Least Common Multiples of 2174

Related Least Common Multiples of 2177

Frequently Asked Questions on LCM of 2174 and 2177

1. What is the LCM of 2174 and 2177?

Answer: LCM of 2174 and 2177 is 4732798.

2. What are the Factors of 2174?

Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.

3. What are the Factors of 2177?

Answer: Factors of 2177 are 1, 7, 311, 2177. There are 4 integers that are factors of 2177. The greatest factor of 2177 is 2177.

4. How to Find the LCM of 2174 and 2177?

Answer:

Least Common Multiple of 2174 and 2177 = 4732798

Step 1: Find the prime factorization of 2174

2174 = 2 x 1087

Step 2: Find the prime factorization of 2177

2177 = 7 x 311

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

LCM = 4732798 = 2 x 7 x 311 x 1087

Step 4: Therefore, the least common multiple of 2174 and 2177 is 4732798.