Least Common Multiple of 10210 and 10217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10210 and 10217 the smallest integer that is 104315570 that is divisible by both numbers.

Least Common Multiple (LCM) of 10210 and 10217 is 104315570.

LCM(10210,10217) = 104315570

LCM of 10210 and 10217

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

LCM of:
and

Least Common Multiple of 10210 and 10217

LCM of 10210 and 10217 is 104315570

Least common multiple can be found by multiplying the highest exponent prime factors of 10210 and 10217. First we will calculate the prime factors of 10210 and 10217.

Prime Factorization of 10210


2 10210
5 5105
1021 1021
1

Prime factors of 10210 are 2, 5,1021. Prime factorization of 10210 in exponential form is:

10210 = 21×51×10211

Prime Factorization of 10217


17 10217
601 601
1

Prime factors of 10217 are 17,601. Prime factorization of 10217 in exponential form is:

10217 = 171×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 10210 and 10217.

LCM(10210,10217) = 21×51×171×6011×10211
LCM(10210,10217) = 104315570

Factors of 10210

List of positive integer factors of 10210 that divides 10210 without a remainder.

1, 2, 5, 10, 1021, 2042, 5105, 10210

Factors of 10217

List of positive integer factors of 10217 that divides 10217 without a remainder.

1, 17, 601, 10217

Least Common Multiple of 10210 and 10217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10210 and 10217, than apply into the LCM equation.

GCF(10210,10217) = 1
LCM(10210,10217) = ( 10210 × 10217) / 1
LCM(10210,10217) = 104315570 / 1
LCM(10210,10217) = 104315570

Properties of LCM 10210 and 10217

(i) The LCM of 10217 and 10210 is associative

LCM of 10210 and 10217 = LCM of 10217 and 10210

Related Least Common Multiples of 10210

Related Least Common Multiples of 10217

Frequently Asked Questions on LCM of 10210 and 10217

1. What is the LCM of 10210 and 10217?

Answer: LCM of 10210 and 10217 is 104315570.

2. What are the Factors of 10210?

Answer: Factors of 10210 are 1, 2, 5, 10, 1021, 2042, 5105, 10210. There are 8 integers that are factors of 10210. The greatest factor of 10210 is 10210.

3. What are the Factors of 10217?

Answer: Factors of 10217 are 1, 17, 601, 10217. There are 4 integers that are factors of 10217. The greatest factor of 10217 is 10217.

4. How to Find the LCM of 10210 and 10217?

Answer:

Least Common Multiple of 10210 and 10217 = 104315570

Step 1: Find the prime factorization of 10210

10210 = 2 x 5 x 1021

Step 2: Find the prime factorization of 10217

10217 = 17 x 601

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

LCM = 104315570 = 2 x 5 x 17 x 601 x 1021

Step 4: Therefore, the least common multiple of 10210 and 10217 is 104315570.