Least Common Multiple of 5177 and 5183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5177 and 5183 the smallest integer that is 26832391 that is divisible by both numbers.

Least Common Multiple (LCM) of 5177 and 5183 is 26832391.

LCM(5177,5183) = 26832391

LCM of 5177 and 5183

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

LCM of:
and

Least Common Multiple of 5177 and 5183

LCM of 5177 and 5183 is 26832391

Least common multiple can be found by multiplying the highest exponent prime factors of 5177 and 5183. First we will calculate the prime factors of 5177 and 5183.

Prime Factorization of 5177


31 5177
167 167
1

Prime factors of 5177 are 31,167. Prime factorization of 5177 in exponential form is:

5177 = 311×1671

Prime Factorization of 5183


71 5183
73 73
1

Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:

5183 = 711×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5177 and 5183.

LCM(5177,5183) = 311×711×731×1671
LCM(5177,5183) = 26832391

Factors of 5177

List of positive integer factors of 5177 that divides 5177 without a remainder.

1, 31, 167, 5177

Factors of 5183

List of positive integer factors of 5183 that divides 5183 without a remainder.

1, 71, 73, 5183

Least Common Multiple of 5177 and 5183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5177 and 5183, than apply into the LCM equation.

GCF(5177,5183) = 1
LCM(5177,5183) = ( 5177 × 5183) / 1
LCM(5177,5183) = 26832391 / 1
LCM(5177,5183) = 26832391

Properties of LCM 5177 and 5183

(i) The LCM of 5183 and 5177 is associative

LCM of 5177 and 5183 = LCM of 5183 and 5177

Related Least Common Multiples of 5177

Related Least Common Multiples of 5183

Frequently Asked Questions on LCM of 5177 and 5183

1. What is the LCM of 5177 and 5183?

Answer: LCM of 5177 and 5183 is 26832391.

2. What are the Factors of 5177?

Answer: Factors of 5177 are 1, 31, 167, 5177. There are 4 integers that are factors of 5177. The greatest factor of 5177 is 5177.

3. What are the Factors of 5183?

Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.

4. How to Find the LCM of 5177 and 5183?

Answer:

Least Common Multiple of 5177 and 5183 = 26832391

Step 1: Find the prime factorization of 5177

5177 = 31 x 167

Step 2: Find the prime factorization of 5183

5183 = 71 x 73

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

LCM = 26832391 = 31 x 71 x 73 x 167

Step 4: Therefore, the least common multiple of 5177 and 5183 is 26832391.