Least Common Multiple of 290 and 298

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 298 the smallest integer that is 43210 that is divisible by both numbers.

Least Common Multiple (LCM) of 290 and 298 is 43210.

LCM(290,298) = 43210

LCM of 290 and 298

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

LCM of:
and

Least Common Multiple of 290 and 298

LCM of 290 and 298 is 43210

Least common multiple can be found by multiplying the highest exponent prime factors of 290 and 298. First we will calculate the prime factors of 290 and 298.

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 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 290 and 298.

LCM(290,298) = 21×51×291×1491
LCM(290,298) = 43210

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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Least Common Multiple of 290 and 298 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 298, than apply into the LCM equation.

GCF(290,298) = 2
LCM(290,298) = ( 290 × 298) / 2
LCM(290,298) = 86420 / 2
LCM(290,298) = 43210

Properties of LCM 290 and 298

(i) The LCM of 298 and 290 is associative

LCM of 290 and 298 = LCM of 298 and 290

Related Least Common Multiples of 290

Related Least Common Multiples of 298

Frequently Asked Questions on LCM of 290 and 298

1. What is the LCM of 290 and 298?

Answer: LCM of 290 and 298 is 43210.

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 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

4. How to Find the LCM of 290 and 298?

Answer:

Least Common Multiple of 290 and 298 = 43210

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 43210 = 2 x 5 x 29 x 149

Step 4: Therefore, the least common multiple of 290 and 298 is 43210.