Least Common Multiple of 4290 and 4298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4290 and 4298 the smallest integer that is 9219210 that is divisible by both numbers.

Least Common Multiple (LCM) of 4290 and 4298 is 9219210.

LCM(4290,4298) = 9219210

LCM of 4290 and 4298

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

LCM of:
and

Least Common Multiple of 4290 and 4298

LCM of 4290 and 4298 is 9219210

Least common multiple can be found by multiplying the highest exponent prime factors of 4290 and 4298. First we will calculate the prime factors of 4290 and 4298.

Prime Factorization of 4290


2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 4290 are 2, 3, 5, 11,13. Prime factorization of 4290 in exponential form is:

4290 = 21×31×51×111×131

Prime Factorization of 4298


2 4298
7 2149
307 307
1

Prime factors of 4298 are 2, 7,307. Prime factorization of 4298 in exponential form is:

4298 = 21×71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4290 and 4298.

LCM(4290,4298) = 21×31×51×71×111×131×3071
LCM(4290,4298) = 9219210

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1, 2, 7, 14, 307, 614, 2149, 4298

Least Common Multiple of 4290 and 4298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4290 and 4298, than apply into the LCM equation.

GCF(4290,4298) = 2
LCM(4290,4298) = ( 4290 × 4298) / 2
LCM(4290,4298) = 18438420 / 2
LCM(4290,4298) = 9219210

Properties of LCM 4290 and 4298

(i) The LCM of 4298 and 4290 is associative

LCM of 4290 and 4298 = LCM of 4298 and 4290

Related Least Common Multiples of 4290

Related Least Common Multiples of 4298

Frequently Asked Questions on LCM of 4290 and 4298

1. What is the LCM of 4290 and 4298?

Answer: LCM of 4290 and 4298 is 9219210.

2. What are the Factors of 4290?

Answer: Factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290. There are 32 integers that are factors of 4290. The greatest factor of 4290 is 4290.

3. What are the Factors of 4298?

Answer: Factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298. There are 8 integers that are factors of 4298. The greatest factor of 4298 is 4298.

4. How to Find the LCM of 4290 and 4298?

Answer:

Least Common Multiple of 4290 and 4298 = 9219210

Step 1: Find the prime factorization of 4290

4290 = 2 x 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 4298

4298 = 2 x 7 x 307

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

LCM = 9219210 = 2 x 3 x 5 x 7 x 11 x 13 x 307

Step 4: Therefore, the least common multiple of 4290 and 4298 is 9219210.