Least Common Multiple of 290 and 292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 290 and 292 the smallest integer that is 42340 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 292 is 42340.

LCM(290,292) = 42340

LCM of 290 and 292

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

LCM of:
and

Least Common Multiple of 290 and 292

LCM of 290 and 292 is 42340

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 292. First we will calculate the prime factors of 290 and 292.

Prime Factorization of 290


2 290
5 145
29 29
1

Prime factors of 290 are 2, 5,29. Prime factorization of 290 in exponential form is:

290 = 21×51×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 292.

LCM(290,292) = 22×51×291×731
LCM(290,292) = 42340

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Factors of 292

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

1, 2, 4, 73, 146, 292

Least Common Multiple of 290 and 292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 292, than apply into the LCM equation.

GCF(290,292) = 2
LCM(290,292) = ( 290 × 292) / 2
LCM(290,292) = 84680 / 2
LCM(290,292) = 42340

Properties of LCM 290 and 292

(i) The LCM of 292 and 290 is associative

LCM of 290 and 292 = LCM of 292 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 292

Frequently Asked Questions on LCM of 290 and 292

1. What is the LCM of 290 and 292?

Answer: LCM of 290 and 292 is 42340.

2. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

3. 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.

4. How to Find the LCM of 290 and 292?

Answer:

Least Common Multiple of 290 and 292 = 42340

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 292

292 = 2 x 2 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 = 42340 = 2 x 2 x 5 x 29 x 73

Step 4: Therefore, the least common multiple of 290 and 292 is 42340.