Least Common Multiple of 15292 and 15296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15292 and 15296 the smallest integer that is 58476608 that is divisible by both numbers.

Least Common Multiple (LCM) of 15292 and 15296 is 58476608.

LCM(15292,15296) = 58476608

LCM of 15292 and 15296

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

LCM of:
and

Least Common Multiple of 15292 and 15296

LCM of 15292 and 15296 is 58476608

Least common multiple can be found by multiplying the highest exponent prime factors of 15292 and 15296. First we will calculate the prime factors of 15292 and 15296.

Prime Factorization of 15292


2 15292
2 7646
3823 3823
1

Prime factors of 15292 are 2,3823. Prime factorization of 15292 in exponential form is:

15292 = 22×38231

Prime Factorization of 15296


2 15296
2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 15296 are 2,239. Prime factorization of 15296 in exponential form is:

15296 = 26×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 15292 and 15296.

LCM(15292,15296) = 26×2391×38231
LCM(15292,15296) = 58476608

Factors of 15292

List of positive integer factors of 15292 that divides 15292 without a remainder.

1, 2, 4, 3823, 7646, 15292

Factors of 15296

List of positive integer factors of 15296 that divides 15296 without a remainder.

1, 2, 4, 8, 16, 32, 64, 239, 478, 956, 1912, 3824, 7648, 15296

Least Common Multiple of 15292 and 15296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15292 and 15296, than apply into the LCM equation.

GCF(15292,15296) = 4
LCM(15292,15296) = ( 15292 × 15296) / 4
LCM(15292,15296) = 233906432 / 4
LCM(15292,15296) = 58476608

Properties of LCM 15292 and 15296

(i) The LCM of 15296 and 15292 is associative

LCM of 15292 and 15296 = LCM of 15296 and 15292

Related Least Common Multiples of 15292

Related Least Common Multiples of 15296

Frequently Asked Questions on LCM of 15292 and 15296

1. What is the LCM of 15292 and 15296?

Answer: LCM of 15292 and 15296 is 58476608.

2. What are the Factors of 15292?

Answer: Factors of 15292 are 1, 2, 4, 3823, 7646, 15292. There are 6 integers that are factors of 15292. The greatest factor of 15292 is 15292.

3. What are the Factors of 15296?

Answer: Factors of 15296 are 1, 2, 4, 8, 16, 32, 64, 239, 478, 956, 1912, 3824, 7648, 15296. There are 14 integers that are factors of 15296. The greatest factor of 15296 is 15296.

4. How to Find the LCM of 15292 and 15296?

Answer:

Least Common Multiple of 15292 and 15296 = 58476608

Step 1: Find the prime factorization of 15292

15292 = 2 x 2 x 3823

Step 2: Find the prime factorization of 15296

15296 = 2 x 2 x 2 x 2 x 2 x 2 x 239

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

LCM = 58476608 = 2 x 2 x 2 x 2 x 2 x 2 x 239 x 3823

Step 4: Therefore, the least common multiple of 15292 and 15296 is 58476608.