Least Common Multiple of 5046 and 5052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5046 and 5052 the smallest integer that is 4248732 that is divisible by both numbers.

Least Common Multiple (LCM) of 5046 and 5052 is 4248732.

LCM(5046,5052) = 4248732

LCM of 5046 and 5052

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

LCM of:
and

Least Common Multiple of 5046 and 5052

LCM of 5046 and 5052 is 4248732

Least common multiple can be found by multiplying the highest exponent prime factors of 5046 and 5052. First we will calculate the prime factors of 5046 and 5052.

Prime Factorization of 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2, 3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

Prime Factorization of 5052


2 5052
2 2526
3 1263
421 421
1

Prime factors of 5052 are 2, 3,421. Prime factorization of 5052 in exponential form is:

5052 = 22×31×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 5046 and 5052.

LCM(5046,5052) = 22×31×292×4211
LCM(5046,5052) = 4248732

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052

Least Common Multiple of 5046 and 5052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5046 and 5052, than apply into the LCM equation.

GCF(5046,5052) = 6
LCM(5046,5052) = ( 5046 × 5052) / 6
LCM(5046,5052) = 25492392 / 6
LCM(5046,5052) = 4248732

Properties of LCM 5046 and 5052

(i) The LCM of 5052 and 5046 is associative

LCM of 5046 and 5052 = LCM of 5052 and 5046

Related Least Common Multiples of 5046

Related Least Common Multiples of 5052

Frequently Asked Questions on LCM of 5046 and 5052

1. What is the LCM of 5046 and 5052?

Answer: LCM of 5046 and 5052 is 4248732.

2. What are the Factors of 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

3. What are the Factors of 5052?

Answer: Factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052. There are 12 integers that are factors of 5052. The greatest factor of 5052 is 5052.

4. How to Find the LCM of 5046 and 5052?

Answer:

Least Common Multiple of 5046 and 5052 = 4248732

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

Step 2: Find the prime factorization of 5052

5052 = 2 x 2 x 3 x 421

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

LCM = 4248732 = 2 x 2 x 3 x 29 x 29 x 421

Step 4: Therefore, the least common multiple of 5046 and 5052 is 4248732.