Least Common Multiple of 10170 and 10174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10170 and 10174 the smallest integer that is 51734790 that is divisible by both numbers.

Least Common Multiple (LCM) of 10170 and 10174 is 51734790.

LCM(10170,10174) = 51734790

LCM of 10170 and 10174

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

LCM of:
and

Least Common Multiple of 10170 and 10174

LCM of 10170 and 10174 is 51734790

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10174. First we will calculate the prime factors of 10170 and 10174.

Prime Factorization of 10170


2 10170
3 5085
3 1695
5 565
113 113
1

Prime factors of 10170 are 2, 3, 5,113. Prime factorization of 10170 in exponential form is:

10170 = 21×32×51×1131

Prime Factorization of 10174


2 10174
5087 5087
1

Prime factors of 10174 are 2,5087. Prime factorization of 10174 in exponential form is:

10174 = 21×50871

Now multiplying the highest exponent prime factors to calculate the LCM of 10170 and 10174.

LCM(10170,10174) = 21×32×51×1131×50871
LCM(10170,10174) = 51734790

Factors of 10170

List of positive integer factors of 10170 that divides 10170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170

Factors of 10174

List of positive integer factors of 10174 that divides 10174 without a remainder.

1, 2, 5087, 10174

Least Common Multiple of 10170 and 10174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10170 and 10174, than apply into the LCM equation.

GCF(10170,10174) = 2
LCM(10170,10174) = ( 10170 × 10174) / 2
LCM(10170,10174) = 103469580 / 2
LCM(10170,10174) = 51734790

Properties of LCM 10170 and 10174

(i) The LCM of 10174 and 10170 is associative

LCM of 10170 and 10174 = LCM of 10174 and 10170

Related Least Common Multiples of 10170

Related Least Common Multiples of 10174

Frequently Asked Questions on LCM of 10170 and 10174

1. What is the LCM of 10170 and 10174?

Answer: LCM of 10170 and 10174 is 51734790.

2. What are the Factors of 10170?

Answer: Factors of 10170 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170. There are 24 integers that are factors of 10170. The greatest factor of 10170 is 10170.

3. What are the Factors of 10174?

Answer: Factors of 10174 are 1, 2, 5087, 10174. There are 4 integers that are factors of 10174. The greatest factor of 10174 is 10174.

4. How to Find the LCM of 10170 and 10174?

Answer:

Least Common Multiple of 10170 and 10174 = 51734790

Step 1: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 10174

10174 = 2 x 5087

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

LCM = 51734790 = 2 x 3 x 3 x 5 x 113 x 5087

Step 4: Therefore, the least common multiple of 10170 and 10174 is 51734790.