Least Common Multiple of 47292 and 47300

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 47300 the smallest integer that is 559227900 that is divisible by both numbers.

Least Common Multiple (LCM) of 47292 and 47300 is 559227900.

LCM(47292,47300) = 559227900

LCM of 47292 and 47300

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

LCM of:
and

Least Common Multiple of 47292 and 47300

LCM of 47292 and 47300 is 559227900

Least common multiple can be found by multiplying the highest exponent prime factors of 47292 and 47300. First we will calculate the prime factors of 47292 and 47300.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 47292 and 47300.

LCM(47292,47300) = 22×31×52×71×111×431×5631
LCM(47292,47300) = 559227900

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 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

Least Common Multiple of 47292 and 47300 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 47300, than apply into the LCM equation.

GCF(47292,47300) = 4
LCM(47292,47300) = ( 47292 × 47300) / 4
LCM(47292,47300) = 2236911600 / 4
LCM(47292,47300) = 559227900

Properties of LCM 47292 and 47300

(i) The LCM of 47300 and 47292 is associative

LCM of 47292 and 47300 = LCM of 47300 and 47292

Related Least Common Multiples of 47292

Related Least Common Multiples of 47300

Frequently Asked Questions on LCM of 47292 and 47300

1. What is the LCM of 47292 and 47300?

Answer: LCM of 47292 and 47300 is 559227900.

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 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.

4. How to Find the LCM of 47292 and 47300?

Answer:

Least Common Multiple of 47292 and 47300 = 559227900

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 47300

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

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

LCM = 559227900 = 2 x 2 x 3 x 5 x 5 x 7 x 11 x 43 x 563

Step 4: Therefore, the least common multiple of 47292 and 47300 is 559227900.