Least Common Multiple of 10020 and 10027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10020 and 10027 the smallest integer that is 100470540 that is divisible by both numbers.

Least Common Multiple (LCM) of 10020 and 10027 is 100470540.

LCM(10020,10027) = 100470540

LCM of 10020 and 10027

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

LCM of:
and

Least Common Multiple of 10020 and 10027

LCM of 10020 and 10027 is 100470540

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10027. First we will calculate the prime factors of 10020 and 10027.

Prime Factorization of 10020


2 10020
2 5010
3 2505
5 835
167 167
1

Prime factors of 10020 are 2, 3, 5,167. Prime factorization of 10020 in exponential form is:

10020 = 22×31×51×1671

Prime Factorization of 10027


37 10027
271 271
1

Prime factors of 10027 are 37,271. Prime factorization of 10027 in exponential form is:

10027 = 371×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10027.

LCM(10020,10027) = 22×31×51×371×1671×2711
LCM(10020,10027) = 100470540

Factors of 10020

List of positive integer factors of 10020 that divides 10020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020

Factors of 10027

List of positive integer factors of 10027 that divides 10027 without a remainder.

1, 37, 271, 10027

Least Common Multiple of 10020 and 10027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10020 and 10027, than apply into the LCM equation.

GCF(10020,10027) = 1
LCM(10020,10027) = ( 10020 × 10027) / 1
LCM(10020,10027) = 100470540 / 1
LCM(10020,10027) = 100470540

Properties of LCM 10020 and 10027

(i) The LCM of 10027 and 10020 is associative

LCM of 10020 and 10027 = LCM of 10027 and 10020

Related Least Common Multiples of 10020

Related Least Common Multiples of 10027

Frequently Asked Questions on LCM of 10020 and 10027

1. What is the LCM of 10020 and 10027?

Answer: LCM of 10020 and 10027 is 100470540.

2. What are the Factors of 10020?

Answer: Factors of 10020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020. There are 24 integers that are factors of 10020. The greatest factor of 10020 is 10020.

3. What are the Factors of 10027?

Answer: Factors of 10027 are 1, 37, 271, 10027. There are 4 integers that are factors of 10027. The greatest factor of 10027 is 10027.

4. How to Find the LCM of 10020 and 10027?

Answer:

Least Common Multiple of 10020 and 10027 = 100470540

Step 1: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 10027

10027 = 37 x 271

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

LCM = 100470540 = 2 x 2 x 3 x 5 x 37 x 167 x 271

Step 4: Therefore, the least common multiple of 10020 and 10027 is 100470540.