Least Common Multiple of 5292 and 5296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5292 and 5296 the smallest integer that is 7006608 that is divisible by both numbers.

Least Common Multiple (LCM) of 5292 and 5296 is 7006608.

LCM(5292,5296) = 7006608

LCM of 5292 and 5296

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

LCM of:
and

Least Common Multiple of 5292 and 5296

LCM of 5292 and 5296 is 7006608

Least common multiple can be found by multiplying the highest exponent prime factors of 5292 and 5296. First we will calculate the prime factors of 5292 and 5296.

Prime Factorization of 5292


2 5292
2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 5292 are 2, 3,7. Prime factorization of 5292 in exponential form is:

5292 = 22×33×72

Prime Factorization of 5296


2 5296
2 2648
2 1324
2 662
331 331
1

Prime factors of 5296 are 2,331. Prime factorization of 5296 in exponential form is:

5296 = 24×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 5292 and 5296.

LCM(5292,5296) = 24×33×72×3311
LCM(5292,5296) = 7006608

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292

Factors of 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296

Least Common Multiple of 5292 and 5296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5292 and 5296, than apply into the LCM equation.

GCF(5292,5296) = 4
LCM(5292,5296) = ( 5292 × 5296) / 4
LCM(5292,5296) = 28026432 / 4
LCM(5292,5296) = 7006608

Properties of LCM 5292 and 5296

(i) The LCM of 5296 and 5292 is associative

LCM of 5292 and 5296 = LCM of 5296 and 5292

Related Least Common Multiples of 5292

Related Least Common Multiples of 5296

Frequently Asked Questions on LCM of 5292 and 5296

1. What is the LCM of 5292 and 5296?

Answer: LCM of 5292 and 5296 is 7006608.

2. What are the Factors of 5292?

Answer: Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292. There are 36 integers that are factors of 5292. The greatest factor of 5292 is 5292.

3. What are the Factors of 5296?

Answer: Factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296. There are 10 integers that are factors of 5296. The greatest factor of 5296 is 5296.

4. How to Find the LCM of 5292 and 5296?

Answer:

Least Common Multiple of 5292 and 5296 = 7006608

Step 1: Find the prime factorization of 5292

5292 = 2 x 2 x 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 5296

5296 = 2 x 2 x 2 x 2 x 331

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

LCM = 7006608 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 331

Step 4: Therefore, the least common multiple of 5292 and 5296 is 7006608.