Least Common Multiple of 10062 and 10070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10062 and 10070 the smallest integer that is 50662170 that is divisible by both numbers.

Least Common Multiple (LCM) of 10062 and 10070 is 50662170.

LCM(10062,10070) = 50662170

LCM of 10062 and 10070

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

LCM of:
and

Least Common Multiple of 10062 and 10070

LCM of 10062 and 10070 is 50662170

Least common multiple can be found by multiplying the highest exponent prime factors of 10062 and 10070. First we will calculate the prime factors of 10062 and 10070.

Prime Factorization of 10062


2 10062
3 5031
3 1677
13 559
43 43
1

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 21×32×131×431

Prime Factorization of 10070


2 10070
5 5035
19 1007
53 53
1

Prime factors of 10070 are 2, 5, 19,53. Prime factorization of 10070 in exponential form is:

10070 = 21×51×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 10062 and 10070.

LCM(10062,10070) = 21×32×51×131×191×431×531
LCM(10062,10070) = 50662170

Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Factors of 10070

List of positive integer factors of 10070 that divides 10070 without a remainder.

1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070

Least Common Multiple of 10062 and 10070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10062 and 10070, than apply into the LCM equation.

GCF(10062,10070) = 2
LCM(10062,10070) = ( 10062 × 10070) / 2
LCM(10062,10070) = 101324340 / 2
LCM(10062,10070) = 50662170

Properties of LCM 10062 and 10070

(i) The LCM of 10070 and 10062 is associative

LCM of 10062 and 10070 = LCM of 10070 and 10062

Related Least Common Multiples of 10062

Related Least Common Multiples of 10070

Frequently Asked Questions on LCM of 10062 and 10070

1. What is the LCM of 10062 and 10070?

Answer: LCM of 10062 and 10070 is 50662170.

2. What are the Factors of 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

3. What are the Factors of 10070?

Answer: Factors of 10070 are 1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070. There are 16 integers that are factors of 10070. The greatest factor of 10070 is 10070.

4. How to Find the LCM of 10062 and 10070?

Answer:

Least Common Multiple of 10062 and 10070 = 50662170

Step 1: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 10070

10070 = 2 x 5 x 19 x 53

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

LCM = 50662170 = 2 x 3 x 3 x 5 x 13 x 19 x 43 x 53

Step 4: Therefore, the least common multiple of 10062 and 10070 is 50662170.