Least Common Multiple of 47292 and 47294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47292 and 47294 the smallest integer that is 1118313924 that is divisible by both numbers.

Least Common Multiple (LCM) of 47292 and 47294 is 1118313924.

LCM(47292,47294) = 1118313924

LCM of 47292 and 47294

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

LCM of:
and

Least Common Multiple of 47292 and 47294

LCM of 47292 and 47294 is 1118313924

Least common multiple can be found by multiplying the highest exponent prime factors of 47292 and 47294. First we will calculate the prime factors of 47292 and 47294.

Prime Factorization of 47292


2 47292
2 23646
3 11823
7 3941
563 563
1

Prime factors of 47292 are 2, 3, 7,563. Prime factorization of 47292 in exponential form is:

47292 = 22×31×71×5631

Prime Factorization of 47294


2 47294
13 23647
17 1819
107 107
1

Prime factors of 47294 are 2, 13, 17,107. Prime factorization of 47294 in exponential form is:

47294 = 21×131×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 47292 and 47294.

LCM(47292,47294) = 22×31×71×131×171×1071×5631
LCM(47292,47294) = 1118313924

Factors of 47292

List of positive integer factors of 47292 that divides 47292 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 563, 1126, 1689, 2252, 3378, 3941, 6756, 7882, 11823, 15764, 23646, 47292

Factors of 47294

List of positive integer factors of 47294 that divides 47294 without a remainder.

1, 2, 13, 17, 26, 34, 107, 214, 221, 442, 1391, 1819, 2782, 3638, 23647, 47294

Least Common Multiple of 47292 and 47294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47292 and 47294, than apply into the LCM equation.

GCF(47292,47294) = 2
LCM(47292,47294) = ( 47292 × 47294) / 2
LCM(47292,47294) = 2236627848 / 2
LCM(47292,47294) = 1118313924

Properties of LCM 47292 and 47294

(i) The LCM of 47294 and 47292 is associative

LCM of 47292 and 47294 = LCM of 47294 and 47292

Related Least Common Multiples of 47292

Related Least Common Multiples of 47294

Frequently Asked Questions on LCM of 47292 and 47294

1. What is the LCM of 47292 and 47294?

Answer: LCM of 47292 and 47294 is 1118313924.

2. What are the Factors of 47292?

Answer: Factors of 47292 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 563, 1126, 1689, 2252, 3378, 3941, 6756, 7882, 11823, 15764, 23646, 47292. There are 24 integers that are factors of 47292. The greatest factor of 47292 is 47292.

3. What are the Factors of 47294?

Answer: Factors of 47294 are 1, 2, 13, 17, 26, 34, 107, 214, 221, 442, 1391, 1819, 2782, 3638, 23647, 47294. There are 16 integers that are factors of 47294. The greatest factor of 47294 is 47294.

4. How to Find the LCM of 47292 and 47294?

Answer:

Least Common Multiple of 47292 and 47294 = 1118313924

Step 1: Find the prime factorization of 47292

47292 = 2 x 2 x 3 x 7 x 563

Step 2: Find the prime factorization of 47294

47294 = 2 x 13 x 17 x 107

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

LCM = 1118313924 = 2 x 2 x 3 x 7 x 13 x 17 x 107 x 563

Step 4: Therefore, the least common multiple of 47292 and 47294 is 1118313924.