Least Common Multiple of 10054 and 10062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10054 and 10062 the smallest integer that is 50581674 that is divisible by both numbers.

Least Common Multiple (LCM) of 10054 and 10062 is 50581674.

LCM(10054,10062) = 50581674

LCM of 10054 and 10062

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

LCM of:
and

Least Common Multiple of 10054 and 10062

LCM of 10054 and 10062 is 50581674

Least common multiple can be found by multiplying the highest exponent prime factors of 10054 and 10062. First we will calculate the prime factors of 10054 and 10062.

Prime Factorization of 10054


2 10054
11 5027
457 457
1

Prime factors of 10054 are 2, 11,457. Prime factorization of 10054 in exponential form is:

10054 = 21×111×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10054 and 10062.

LCM(10054,10062) = 21×32×111×131×431×4571
LCM(10054,10062) = 50581674

Factors of 10054

List of positive integer factors of 10054 that divides 10054 without a remainder.

1, 2, 11, 22, 457, 914, 5027, 10054

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

Least Common Multiple of 10054 and 10062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10054 and 10062, than apply into the LCM equation.

GCF(10054,10062) = 2
LCM(10054,10062) = ( 10054 × 10062) / 2
LCM(10054,10062) = 101163348 / 2
LCM(10054,10062) = 50581674

Properties of LCM 10054 and 10062

(i) The LCM of 10062 and 10054 is associative

LCM of 10054 and 10062 = LCM of 10062 and 10054

Related Least Common Multiples of 10054

Related Least Common Multiples of 10062

Frequently Asked Questions on LCM of 10054 and 10062

1. What is the LCM of 10054 and 10062?

Answer: LCM of 10054 and 10062 is 50581674.

2. What are the Factors of 10054?

Answer: Factors of 10054 are 1, 2, 11, 22, 457, 914, 5027, 10054. There are 8 integers that are factors of 10054. The greatest factor of 10054 is 10054.

3. 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.

4. How to Find the LCM of 10054 and 10062?

Answer:

Least Common Multiple of 10054 and 10062 = 50581674

Step 1: Find the prime factorization of 10054

10054 = 2 x 11 x 457

Step 2: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

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

LCM = 50581674 = 2 x 3 x 3 x 11 x 13 x 43 x 457

Step 4: Therefore, the least common multiple of 10054 and 10062 is 50581674.