Least Common Multiple of 1010 and 1015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1010 and 1015 the smallest integer that is 205030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1010 and 1015 is 205030.

LCM(1010,1015) = 205030

LCM of 1010 and 1015

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

LCM of:
and

Least Common Multiple of 1010 and 1015

LCM of 1010 and 1015 is 205030

Least common multiple can be found by multiplying the highest exponent prime factors of 1010 and 1015. First we will calculate the prime factors of 1010 and 1015.

Prime Factorization of 1010


2 1010
5 505
101 101
1

Prime factors of 1010 are 2, 5,101. Prime factorization of 1010 in exponential form is:

1010 = 21×51×1011

Prime Factorization of 1015


5 1015
7 203
29 29
1

Prime factors of 1015 are 5, 7,29. Prime factorization of 1015 in exponential form is:

1015 = 51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1010 and 1015.

LCM(1010,1015) = 21×51×71×291×1011
LCM(1010,1015) = 205030

Factors of 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1, 2, 5, 10, 101, 202, 505, 1010

Factors of 1015

List of positive integer factors of 1015 that divides 1015 without a remainder.

1, 5, 7, 29, 35, 145, 203, 1015

Least Common Multiple of 1010 and 1015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1010 and 1015, than apply into the LCM equation.

GCF(1010,1015) = 5
LCM(1010,1015) = ( 1010 × 1015) / 5
LCM(1010,1015) = 1025150 / 5
LCM(1010,1015) = 205030

Properties of LCM 1010 and 1015

(i) The LCM of 1015 and 1010 is associative

LCM of 1010 and 1015 = LCM of 1015 and 1010

Related Least Common Multiples of 1010

Related Least Common Multiples of 1015

Frequently Asked Questions on LCM of 1010 and 1015

1. What is the LCM of 1010 and 1015?

Answer: LCM of 1010 and 1015 is 205030.

2. What are the Factors of 1010?

Answer: Factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010. There are 8 integers that are factors of 1010. The greatest factor of 1010 is 1010.

3. What are the Factors of 1015?

Answer: Factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015. There are 8 integers that are factors of 1015. The greatest factor of 1015 is 1015.

4. How to Find the LCM of 1010 and 1015?

Answer:

Least Common Multiple of 1010 and 1015 = 205030

Step 1: Find the prime factorization of 1010

1010 = 2 x 5 x 101

Step 2: Find the prime factorization of 1015

1015 = 5 x 7 x 29

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

LCM = 205030 = 2 x 5 x 7 x 29 x 101

Step 4: Therefore, the least common multiple of 1010 and 1015 is 205030.