Least Common Multiple of 10178 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 10178 and 10182 the smallest integer that is 51816198 that is divisible by both numbers.

Least Common Multiple (LCM) of 10178 and 10182 is 51816198.

LCM(10178,10182) = 51816198

LCM of 10178 and 10182

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

LCM of:
and

Least Common Multiple of 10178 and 10182

LCM of 10178 and 10182 is 51816198

Least common multiple can be found by multiplying the highest exponent prime factors of 10178 and 10182. First we will calculate the prime factors of 10178 and 10182.

Prime Factorization of 10178


2 10178
7 5089
727 727
1

Prime factors of 10178 are 2, 7,727. Prime factorization of 10178 in exponential form is:

10178 = 21×71×7271

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 10178 and 10182.

LCM(10178,10182) = 21×31×71×7271×16971
LCM(10178,10182) = 51816198

Factors of 10178

List of positive integer factors of 10178 that divides 10178 without a remainder.

1, 2, 7, 14, 727, 1454, 5089, 10178

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 10178 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 10178 and 10182, than apply into the LCM equation.

GCF(10178,10182) = 2
LCM(10178,10182) = ( 10178 × 10182) / 2
LCM(10178,10182) = 103632396 / 2
LCM(10178,10182) = 51816198

Properties of LCM 10178 and 10182

(i) The LCM of 10182 and 10178 is associative

LCM of 10178 and 10182 = LCM of 10182 and 10178

Related Least Common Multiples of 10178

Related Least Common Multiples of 10182

Frequently Asked Questions on LCM of 10178 and 10182

1. What is the LCM of 10178 and 10182?

Answer: LCM of 10178 and 10182 is 51816198.

2. What are the Factors of 10178?

Answer: Factors of 10178 are 1, 2, 7, 14, 727, 1454, 5089, 10178. There are 8 integers that are factors of 10178. The greatest factor of 10178 is 10178.

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 10178 and 10182?

Answer:

Least Common Multiple of 10178 and 10182 = 51816198

Step 1: Find the prime factorization of 10178

10178 = 2 x 7 x 727

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 = 51816198 = 2 x 3 x 7 x 727 x 1697

Step 4: Therefore, the least common multiple of 10178 and 10182 is 51816198.