Least Common Multiple of 17292 and 17300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17292 and 17300 the smallest integer that is 74787900 that is divisible by both numbers.

Least Common Multiple (LCM) of 17292 and 17300 is 74787900.

LCM(17292,17300) = 74787900

LCM of 17292 and 17300

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

LCM of:
and

Least Common Multiple of 17292 and 17300

LCM of 17292 and 17300 is 74787900

Least common multiple can be found by multiplying the highest exponent prime factors of 17292 and 17300. First we will calculate the prime factors of 17292 and 17300.

Prime Factorization of 17292


2 17292
2 8646
3 4323
11 1441
131 131
1

Prime factors of 17292 are 2, 3, 11,131. Prime factorization of 17292 in exponential form is:

17292 = 22×31×111×1311

Prime Factorization of 17300


2 17300
2 8650
5 4325
5 865
173 173
1

Prime factors of 17300 are 2, 5,173. Prime factorization of 17300 in exponential form is:

17300 = 22×52×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 17292 and 17300.

LCM(17292,17300) = 22×31×52×111×1311×1731
LCM(17292,17300) = 74787900

Factors of 17292

List of positive integer factors of 17292 that divides 17292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292

Factors of 17300

List of positive integer factors of 17300 that divides 17300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 173, 346, 692, 865, 1730, 3460, 4325, 8650, 17300

Least Common Multiple of 17292 and 17300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17292 and 17300, than apply into the LCM equation.

GCF(17292,17300) = 4
LCM(17292,17300) = ( 17292 × 17300) / 4
LCM(17292,17300) = 299151600 / 4
LCM(17292,17300) = 74787900

Properties of LCM 17292 and 17300

(i) The LCM of 17300 and 17292 is associative

LCM of 17292 and 17300 = LCM of 17300 and 17292

Related Least Common Multiples of 17292

Related Least Common Multiples of 17300

Frequently Asked Questions on LCM of 17292 and 17300

1. What is the LCM of 17292 and 17300?

Answer: LCM of 17292 and 17300 is 74787900.

2. What are the Factors of 17292?

Answer: Factors of 17292 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292. There are 24 integers that are factors of 17292. The greatest factor of 17292 is 17292.

3. What are the Factors of 17300?

Answer: Factors of 17300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 173, 346, 692, 865, 1730, 3460, 4325, 8650, 17300. There are 18 integers that are factors of 17300. The greatest factor of 17300 is 17300.

4. How to Find the LCM of 17292 and 17300?

Answer:

Least Common Multiple of 17292 and 17300 = 74787900

Step 1: Find the prime factorization of 17292

17292 = 2 x 2 x 3 x 11 x 131

Step 2: Find the prime factorization of 17300

17300 = 2 x 2 x 5 x 5 x 173

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

LCM = 74787900 = 2 x 2 x 3 x 5 x 5 x 11 x 131 x 173

Step 4: Therefore, the least common multiple of 17292 and 17300 is 74787900.