Least Common Multiple of 47304 and 47308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47304 and 47308 the smallest integer that is 559464408 that is divisible by both numbers.

Least Common Multiple (LCM) of 47304 and 47308 is 559464408.

LCM(47304,47308) = 559464408

LCM of 47304 and 47308

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

LCM of:
and

Least Common Multiple of 47304 and 47308

LCM of 47304 and 47308 is 559464408

Least common multiple can be found by multiplying the highest exponent prime factors of 47304 and 47308. First we will calculate the prime factors of 47304 and 47308.

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

Prime Factorization of 47308


2 47308
2 23654
11827 11827
1

Prime factors of 47308 are 2,11827. Prime factorization of 47308 in exponential form is:

47308 = 22×118271

Now multiplying the highest exponent prime factors to calculate the LCM of 47304 and 47308.

LCM(47304,47308) = 23×34×731×118271
LCM(47304,47308) = 559464408

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

Factors of 47308

List of positive integer factors of 47308 that divides 47308 without a remainder.

1, 2, 4, 11827, 23654, 47308

Least Common Multiple of 47304 and 47308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47304 and 47308, than apply into the LCM equation.

GCF(47304,47308) = 4
LCM(47304,47308) = ( 47304 × 47308) / 4
LCM(47304,47308) = 2237857632 / 4
LCM(47304,47308) = 559464408

Properties of LCM 47304 and 47308

(i) The LCM of 47308 and 47304 is associative

LCM of 47304 and 47308 = LCM of 47308 and 47304

Related Least Common Multiples of 47304

Related Least Common Multiples of 47308

Frequently Asked Questions on LCM of 47304 and 47308

1. What is the LCM of 47304 and 47308?

Answer: LCM of 47304 and 47308 is 559464408.

2. 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.

3. What are the Factors of 47308?

Answer: Factors of 47308 are 1, 2, 4, 11827, 23654, 47308. There are 6 integers that are factors of 47308. The greatest factor of 47308 is 47308.

4. How to Find the LCM of 47304 and 47308?

Answer:

Least Common Multiple of 47304 and 47308 = 559464408

Step 1: Find the prime factorization of 47304

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

Step 2: Find the prime factorization of 47308

47308 = 2 x 2 x 11827

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

LCM = 559464408 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 73 x 11827

Step 4: Therefore, the least common multiple of 47304 and 47308 is 559464408.