Least Common Multiple of 10052 and 10054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10052 and 10054 the smallest integer that is 50531404 that is divisible by both numbers.

Least Common Multiple (LCM) of 10052 and 10054 is 50531404.

LCM(10052,10054) = 50531404

LCM of 10052 and 10054

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

LCM of:
and

Least Common Multiple of 10052 and 10054

LCM of 10052 and 10054 is 50531404

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10054. First we will calculate the prime factors of 10052 and 10054.

Prime Factorization of 10052


2 10052
2 5026
7 2513
359 359
1

Prime factors of 10052 are 2, 7,359. Prime factorization of 10052 in exponential form is:

10052 = 22×71×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10054.

LCM(10052,10054) = 22×71×111×3591×4571
LCM(10052,10054) = 50531404

Factors of 10052

List of positive integer factors of 10052 that divides 10052 without a remainder.

1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052

Factors of 10054

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

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

Least Common Multiple of 10052 and 10054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10052 and 10054, than apply into the LCM equation.

GCF(10052,10054) = 2
LCM(10052,10054) = ( 10052 × 10054) / 2
LCM(10052,10054) = 101062808 / 2
LCM(10052,10054) = 50531404

Properties of LCM 10052 and 10054

(i) The LCM of 10054 and 10052 is associative

LCM of 10052 and 10054 = LCM of 10054 and 10052

Related Least Common Multiples of 10052

Related Least Common Multiples of 10054

Frequently Asked Questions on LCM of 10052 and 10054

1. What is the LCM of 10052 and 10054?

Answer: LCM of 10052 and 10054 is 50531404.

2. What are the Factors of 10052?

Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.

3. 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.

4. How to Find the LCM of 10052 and 10054?

Answer:

Least Common Multiple of 10052 and 10054 = 50531404

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10054

10054 = 2 x 11 x 457

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

LCM = 50531404 = 2 x 2 x 7 x 11 x 359 x 457

Step 4: Therefore, the least common multiple of 10052 and 10054 is 50531404.