Least Common Multiple of 10177 and 10182

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 10182 the smallest integer that is 103622214 that is divisible by both numbers.

Least Common Multiple (LCM) of 10177 and 10182 is 103622214.

LCM(10177,10182) = 103622214

LCM of 10177 and 10182

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

LCM of:
and

Least Common Multiple of 10177 and 10182

LCM of 10177 and 10182 is 103622214

Least common multiple can be found by multiplying the highest exponent prime factors of 10177 and 10182. First we will calculate the prime factors of 10177 and 10182.

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 10182


2 10182
3 5091
1697 1697
1

Prime factors of 10182 are 2, 3,1697. Prime factorization of 10182 in exponential form is:

10182 = 21×31×16971

Now multiplying the highest exponent prime factors to calculate the LCM of 10177 and 10182.

LCM(10177,10182) = 21×31×16971×101771
LCM(10177,10182) = 103622214

Factors of 10177

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

1, 10177

Factors of 10182

List of positive integer factors of 10182 that divides 10182 without a remainder.

1, 2, 3, 6, 1697, 3394, 5091, 10182

Least Common Multiple of 10177 and 10182 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 10182, than apply into the LCM equation.

GCF(10177,10182) = 1
LCM(10177,10182) = ( 10177 × 10182) / 1
LCM(10177,10182) = 103622214 / 1
LCM(10177,10182) = 103622214

Properties of LCM 10177 and 10182

(i) The LCM of 10182 and 10177 is associative

LCM of 10177 and 10182 = LCM of 10182 and 10177

Related Least Common Multiples of 10177

Related Least Common Multiples of 10182

Frequently Asked Questions on LCM of 10177 and 10182

1. What is the LCM of 10177 and 10182?

Answer: LCM of 10177 and 10182 is 103622214.

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 10182?

Answer: Factors of 10182 are 1, 2, 3, 6, 1697, 3394, 5091, 10182. There are 8 integers that are factors of 10182. The greatest factor of 10182 is 10182.

4. How to Find the LCM of 10177 and 10182?

Answer:

Least Common Multiple of 10177 and 10182 = 103622214

Step 1: Find the prime factorization of 10177

10177 = 10177

Step 2: Find the prime factorization of 10182

10182 = 2 x 3 x 1697

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

LCM = 103622214 = 2 x 3 x 1697 x 10177

Step 4: Therefore, the least common multiple of 10177 and 10182 is 103622214.