Least Common Multiple of 1010 and 1012

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 1012 the smallest integer that is 511060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1010 and 1012 is 511060.

LCM(1010,1012) = 511060

LCM of 1010 and 1012

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

LCM of:
and

Least Common Multiple of 1010 and 1012

LCM of 1010 and 1012 is 511060

Least common multiple can be found by multiplying the highest exponent prime factors of 1010 and 1012. First we will calculate the prime factors of 1010 and 1012.

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 1012


2 1012
2 506
11 253
23 23
1

Prime factors of 1012 are 2, 11,23. Prime factorization of 1012 in exponential form is:

1012 = 22×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1010 and 1012.

LCM(1010,1012) = 22×51×111×231×1011
LCM(1010,1012) = 511060

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 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

Least Common Multiple of 1010 and 1012 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 1012, than apply into the LCM equation.

GCF(1010,1012) = 2
LCM(1010,1012) = ( 1010 × 1012) / 2
LCM(1010,1012) = 1022120 / 2
LCM(1010,1012) = 511060

Properties of LCM 1010 and 1012

(i) The LCM of 1012 and 1010 is associative

LCM of 1010 and 1012 = LCM of 1012 and 1010

Related Least Common Multiples of 1010

Related Least Common Multiples of 1012

Frequently Asked Questions on LCM of 1010 and 1012

1. What is the LCM of 1010 and 1012?

Answer: LCM of 1010 and 1012 is 511060.

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 1012?

Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.

4. How to Find the LCM of 1010 and 1012?

Answer:

Least Common Multiple of 1010 and 1012 = 511060

Step 1: Find the prime factorization of 1010

1010 = 2 x 5 x 101

Step 2: Find the prime factorization of 1012

1012 = 2 x 2 x 11 x 23

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

LCM = 511060 = 2 x 2 x 5 x 11 x 23 x 101

Step 4: Therefore, the least common multiple of 1010 and 1012 is 511060.