Least Common Multiple of 47300 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 47300 and 47304 the smallest integer that is 559369800 that is divisible by both numbers.

Least Common Multiple (LCM) of 47300 and 47304 is 559369800.

LCM(47300,47304) = 559369800

LCM of 47300 and 47304

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

LCM of:
and

Least Common Multiple of 47300 and 47304

LCM of 47300 and 47304 is 559369800

Least common multiple can be found by multiplying the highest exponent prime factors of 47300 and 47304. First we will calculate the prime factors of 47300 and 47304.

Prime Factorization of 47300


2 47300
2 23650
5 11825
5 2365
11 473
43 43
1

Prime factors of 47300 are 2, 5, 11,43. Prime factorization of 47300 in exponential form is:

47300 = 22×52×111×431

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 47300 and 47304.

LCM(47300,47304) = 23×34×52×111×431×731
LCM(47300,47304) = 559369800

Factors of 47300

List of positive integer factors of 47300 that divides 47300 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 43, 44, 50, 55, 86, 100, 110, 172, 215, 220, 275, 430, 473, 550, 860, 946, 1075, 1100, 1892, 2150, 2365, 4300, 4730, 9460, 11825, 23650, 47300

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 47300 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 47300 and 47304, than apply into the LCM equation.

GCF(47300,47304) = 4
LCM(47300,47304) = ( 47300 × 47304) / 4
LCM(47300,47304) = 2237479200 / 4
LCM(47300,47304) = 559369800

Properties of LCM 47300 and 47304

(i) The LCM of 47304 and 47300 is associative

LCM of 47300 and 47304 = LCM of 47304 and 47300

Related Least Common Multiples of 47300

Related Least Common Multiples of 47304

Frequently Asked Questions on LCM of 47300 and 47304

1. What is the LCM of 47300 and 47304?

Answer: LCM of 47300 and 47304 is 559369800.

2. What are the Factors of 47300?

Answer: Factors of 47300 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 43, 44, 50, 55, 86, 100, 110, 172, 215, 220, 275, 430, 473, 550, 860, 946, 1075, 1100, 1892, 2150, 2365, 4300, 4730, 9460, 11825, 23650, 47300. There are 36 integers that are factors of 47300. The greatest factor of 47300 is 47300.

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 47300 and 47304?

Answer:

Least Common Multiple of 47300 and 47304 = 559369800

Step 1: Find the prime factorization of 47300

47300 = 2 x 2 x 5 x 5 x 11 x 43

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 = 559369800 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 43 x 73

Step 4: Therefore, the least common multiple of 47300 and 47304 is 559369800.