Least Common Multiple of 47299 and 47304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47299 and 47304 the smallest integer that is 2237431896 that is divisible by both numbers.

Least Common Multiple (LCM) of 47299 and 47304 is 2237431896.

LCM(47299,47304) = 2237431896

LCM of 47299 and 47304

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

LCM of:
and

Least Common Multiple of 47299 and 47304

LCM of 47299 and 47304 is 2237431896

Least common multiple can be found by multiplying the highest exponent prime factors of 47299 and 47304. First we will calculate the prime factors of 47299 and 47304.

Prime Factorization of 47299


7 47299
29 6757
233 233
1

Prime factors of 47299 are 7, 29,233. Prime factorization of 47299 in exponential form is:

47299 = 71×291×2331

Prime Factorization of 47304


2 47304
2 23652
2 11826
3 5913
3 1971
3 657
3 219
73 73
1

Prime factors of 47304 are 2, 3,73. Prime factorization of 47304 in exponential form is:

47304 = 23×34×731

Now multiplying the highest exponent prime factors to calculate the LCM of 47299 and 47304.

LCM(47299,47304) = 23×34×71×291×731×2331
LCM(47299,47304) = 2237431896

Factors of 47299

List of positive integer factors of 47299 that divides 47299 without a remainder.

1, 7, 29, 203, 233, 1631, 6757, 47299

Factors of 47304

List of positive integer factors of 47304 that divides 47304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81, 108, 146, 162, 216, 219, 292, 324, 438, 584, 648, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 5913, 7884, 11826, 15768, 23652, 47304

Least Common Multiple of 47299 and 47304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47299 and 47304, than apply into the LCM equation.

GCF(47299,47304) = 1
LCM(47299,47304) = ( 47299 × 47304) / 1
LCM(47299,47304) = 2237431896 / 1
LCM(47299,47304) = 2237431896

Properties of LCM 47299 and 47304

(i) The LCM of 47304 and 47299 is associative

LCM of 47299 and 47304 = LCM of 47304 and 47299

Related Least Common Multiples of 47299

Related Least Common Multiples of 47304

Frequently Asked Questions on LCM of 47299 and 47304

1. What is the LCM of 47299 and 47304?

Answer: LCM of 47299 and 47304 is 2237431896.

2. What are the Factors of 47299?

Answer: Factors of 47299 are 1, 7, 29, 203, 233, 1631, 6757, 47299. There are 8 integers that are factors of 47299. The greatest factor of 47299 is 47299.

3. What are the Factors of 47304?

Answer: Factors of 47304 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81, 108, 146, 162, 216, 219, 292, 324, 438, 584, 648, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 5913, 7884, 11826, 15768, 23652, 47304. There are 40 integers that are factors of 47304. The greatest factor of 47304 is 47304.

4. How to Find the LCM of 47299 and 47304?

Answer:

Least Common Multiple of 47299 and 47304 = 2237431896

Step 1: Find the prime factorization of 47299

47299 = 7 x 29 x 233

Step 2: Find the prime factorization of 47304

47304 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 73

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

LCM = 2237431896 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 29 x 73 x 233

Step 4: Therefore, the least common multiple of 47299 and 47304 is 2237431896.