Least Common Multiple of 47300 and 47306

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 47306 the smallest integer that is 1118786900 that is divisible by both numbers.

Least Common Multiple (LCM) of 47300 and 47306 is 1118786900.

LCM(47300,47306) = 1118786900

LCM of 47300 and 47306

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

LCM of:
and

Least Common Multiple of 47300 and 47306

LCM of 47300 and 47306 is 1118786900

Least common multiple can be found by multiplying the highest exponent prime factors of 47300 and 47306. First we will calculate the prime factors of 47300 and 47306.

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 47306


2 47306
7 23653
31 3379
109 109
1

Prime factors of 47306 are 2, 7, 31,109. Prime factorization of 47306 in exponential form is:

47306 = 21×71×311×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 47300 and 47306.

LCM(47300,47306) = 22×52×71×111×311×431×1091
LCM(47300,47306) = 1118786900

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 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306

Least Common Multiple of 47300 and 47306 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 47306, than apply into the LCM equation.

GCF(47300,47306) = 2
LCM(47300,47306) = ( 47300 × 47306) / 2
LCM(47300,47306) = 2237573800 / 2
LCM(47300,47306) = 1118786900

Properties of LCM 47300 and 47306

(i) The LCM of 47306 and 47300 is associative

LCM of 47300 and 47306 = LCM of 47306 and 47300

Related Least Common Multiples of 47300

Related Least Common Multiples of 47306

Frequently Asked Questions on LCM of 47300 and 47306

1. What is the LCM of 47300 and 47306?

Answer: LCM of 47300 and 47306 is 1118786900.

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 47306?

Answer: Factors of 47306 are 1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306. There are 16 integers that are factors of 47306. The greatest factor of 47306 is 47306.

4. How to Find the LCM of 47300 and 47306?

Answer:

Least Common Multiple of 47300 and 47306 = 1118786900

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 47306

47306 = 2 x 7 x 31 x 109

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

LCM = 1118786900 = 2 x 2 x 5 x 5 x 7 x 11 x 31 x 43 x 109

Step 4: Therefore, the least common multiple of 47300 and 47306 is 1118786900.