Least Common Multiple of 10177 and 10183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10177 and 10183 the smallest integer that is 103632391 that is divisible by both numbers.

Least Common Multiple (LCM) of 10177 and 10183 is 103632391.

LCM(10177,10183) = 103632391

LCM of 10177 and 10183

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

LCM of:
and

Least Common Multiple of 10177 and 10183

LCM of 10177 and 10183 is 103632391

Least common multiple can be found by multiplying the highest exponent prime factors of 10177 and 10183. First we will calculate the prime factors of 10177 and 10183.

Prime Factorization of 10177


10177 10177
1

Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:

10177 = 101771

Prime Factorization of 10183


17 10183
599 599
1

Prime factors of 10183 are 17,599. Prime factorization of 10183 in exponential form is:

10183 = 171×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 10177 and 10183.

LCM(10177,10183) = 171×5991×101771
LCM(10177,10183) = 103632391

Factors of 10177

List of positive integer factors of 10177 that divides 10177 without a remainder.

1, 10177

Factors of 10183

List of positive integer factors of 10183 that divides 10183 without a remainder.

1, 17, 599, 10183

Least Common Multiple of 10177 and 10183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10177 and 10183, than apply into the LCM equation.

GCF(10177,10183) = 1
LCM(10177,10183) = ( 10177 × 10183) / 1
LCM(10177,10183) = 103632391 / 1
LCM(10177,10183) = 103632391

Properties of LCM 10177 and 10183

(i) The LCM of 10183 and 10177 is associative

LCM of 10177 and 10183 = LCM of 10183 and 10177

Related Least Common Multiples of 10177

Related Least Common Multiples of 10183

Frequently Asked Questions on LCM of 10177 and 10183

1. What is the LCM of 10177 and 10183?

Answer: LCM of 10177 and 10183 is 103632391.

2. What are the Factors of 10177?

Answer: Factors of 10177 are 1, 10177. There are 2 integers that are factors of 10177. The greatest factor of 10177 is 10177.

3. What are the Factors of 10183?

Answer: Factors of 10183 are 1, 17, 599, 10183. There are 4 integers that are factors of 10183. The greatest factor of 10183 is 10183.

4. How to Find the LCM of 10177 and 10183?

Answer:

Least Common Multiple of 10177 and 10183 = 103632391

Step 1: Find the prime factorization of 10177

10177 = 10177

Step 2: Find the prime factorization of 10183

10183 = 17 x 599

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

LCM = 103632391 = 17 x 599 x 10177

Step 4: Therefore, the least common multiple of 10177 and 10183 is 103632391.