Least Common Multiple of 5246 and 5252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5246 and 5252 the smallest integer that is 13775996 that is divisible by both numbers.

Least Common Multiple (LCM) of 5246 and 5252 is 13775996.

LCM(5246,5252) = 13775996

LCM of 5246 and 5252

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

LCM of:
and

Least Common Multiple of 5246 and 5252

LCM of 5246 and 5252 is 13775996

Least common multiple can be found by multiplying the highest exponent prime factors of 5246 and 5252. First we will calculate the prime factors of 5246 and 5252.

Prime Factorization of 5246


2 5246
43 2623
61 61
1

Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:

5246 = 21×431×611

Prime Factorization of 5252


2 5252
2 2626
13 1313
101 101
1

Prime factors of 5252 are 2, 13,101. Prime factorization of 5252 in exponential form is:

5252 = 22×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5246 and 5252.

LCM(5246,5252) = 22×131×431×611×1011
LCM(5246,5252) = 13775996

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1, 2, 43, 61, 86, 122, 2623, 5246

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252

Least Common Multiple of 5246 and 5252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5246 and 5252, than apply into the LCM equation.

GCF(5246,5252) = 2
LCM(5246,5252) = ( 5246 × 5252) / 2
LCM(5246,5252) = 27551992 / 2
LCM(5246,5252) = 13775996

Properties of LCM 5246 and 5252

(i) The LCM of 5252 and 5246 is associative

LCM of 5246 and 5252 = LCM of 5252 and 5246

Related Least Common Multiples of 5246

Related Least Common Multiples of 5252

Frequently Asked Questions on LCM of 5246 and 5252

1. What is the LCM of 5246 and 5252?

Answer: LCM of 5246 and 5252 is 13775996.

2. What are the Factors of 5246?

Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.

3. What are the Factors of 5252?

Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.

4. How to Find the LCM of 5246 and 5252?

Answer:

Least Common Multiple of 5246 and 5252 = 13775996

Step 1: Find the prime factorization of 5246

5246 = 2 x 43 x 61

Step 2: Find the prime factorization of 5252

5252 = 2 x 2 x 13 x 101

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

LCM = 13775996 = 2 x 2 x 13 x 43 x 61 x 101

Step 4: Therefore, the least common multiple of 5246 and 5252 is 13775996.