Least Common Multiple of 5243 and 5251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5243 and 5251 the smallest integer that is 27530993 that is divisible by both numbers.

Least Common Multiple (LCM) of 5243 and 5251 is 27530993.

LCM(5243,5251) = 27530993

LCM of 5243 and 5251

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

LCM of:
and

Least Common Multiple of 5243 and 5251

LCM of 5243 and 5251 is 27530993

Least common multiple can be found by multiplying the highest exponent prime factors of 5243 and 5251. First we will calculate the prime factors of 5243 and 5251.

Prime Factorization of 5243


7 5243
7 749
107 107
1

Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:

5243 = 72×1071

Prime Factorization of 5251


59 5251
89 89
1

Prime factors of 5251 are 59,89. Prime factorization of 5251 in exponential form is:

5251 = 591×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5243 and 5251.

LCM(5243,5251) = 72×591×891×1071
LCM(5243,5251) = 27530993

Factors of 5243

List of positive integer factors of 5243 that divides 5243 without a remainder.

1, 7, 49, 107, 749, 5243

Factors of 5251

List of positive integer factors of 5251 that divides 5251 without a remainder.

1, 59, 89, 5251

Least Common Multiple of 5243 and 5251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5243 and 5251, than apply into the LCM equation.

GCF(5243,5251) = 1
LCM(5243,5251) = ( 5243 × 5251) / 1
LCM(5243,5251) = 27530993 / 1
LCM(5243,5251) = 27530993

Properties of LCM 5243 and 5251

(i) The LCM of 5251 and 5243 is associative

LCM of 5243 and 5251 = LCM of 5251 and 5243

Related Least Common Multiples of 5243

Related Least Common Multiples of 5251

Frequently Asked Questions on LCM of 5243 and 5251

1. What is the LCM of 5243 and 5251?

Answer: LCM of 5243 and 5251 is 27530993.

2. What are the Factors of 5243?

Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.

3. What are the Factors of 5251?

Answer: Factors of 5251 are 1, 59, 89, 5251. There are 4 integers that are factors of 5251. The greatest factor of 5251 is 5251.

4. How to Find the LCM of 5243 and 5251?

Answer:

Least Common Multiple of 5243 and 5251 = 27530993

Step 1: Find the prime factorization of 5243

5243 = 7 x 7 x 107

Step 2: Find the prime factorization of 5251

5251 = 59 x 89

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

LCM = 27530993 = 7 x 7 x 59 x 89 x 107

Step 4: Therefore, the least common multiple of 5243 and 5251 is 27530993.