Least Common Multiple of 292 and 300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 292 and 300 the smallest integer that is 21900 that is divisible by both numbers.

Least Common Multiple (LCM) of 292 and 300 is 21900.

LCM(292,300) = 21900

LCM of 292 and 300

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

LCM of:
and

Least Common Multiple of 292 and 300

LCM of 292 and 300 is 21900

Least common multiple can be found by multiplying the highest exponent prime factors of 292 and 300. First we will calculate the prime factors of 292 and 300.

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Prime Factorization of 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 292 and 300.

LCM(292,300) = 22×31×52×731
LCM(292,300) = 21900

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Least Common Multiple of 292 and 300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 300, than apply into the LCM equation.

GCF(292,300) = 4
LCM(292,300) = ( 292 × 300) / 4
LCM(292,300) = 87600 / 4
LCM(292,300) = 21900

Properties of LCM 292 and 300

(i) The LCM of 300 and 292 is associative

LCM of 292 and 300 = LCM of 300 and 292

Related Least Common Multiples of 292

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 292 and 300

1. What is the LCM of 292 and 300?

Answer: LCM of 292 and 300 is 21900.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

3. What are the Factors of 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

4. How to Find the LCM of 292 and 300?

Answer:

Least Common Multiple of 292 and 300 = 21900

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 21900 = 2 x 2 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 292 and 300 is 21900.