Least Common Multiple of 4282 and 4290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4282 and 4290 the smallest integer that is 9184890 that is divisible by both numbers.

Least Common Multiple (LCM) of 4282 and 4290 is 9184890.

LCM(4282,4290) = 9184890

LCM of 4282 and 4290

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

LCM of:
and

Least Common Multiple of 4282 and 4290

LCM of 4282 and 4290 is 9184890

Least common multiple can be found by multiplying the highest exponent prime factors of 4282 and 4290. First we will calculate the prime factors of 4282 and 4290.

Prime Factorization of 4282


2 4282
2141 2141
1

Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:

4282 = 21×21411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4290.

LCM(4282,4290) = 21×31×51×111×131×21411
LCM(4282,4290) = 9184890

Factors of 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1, 2, 2141, 4282

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

Least Common Multiple of 4282 and 4290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4282 and 4290, than apply into the LCM equation.

GCF(4282,4290) = 2
LCM(4282,4290) = ( 4282 × 4290) / 2
LCM(4282,4290) = 18369780 / 2
LCM(4282,4290) = 9184890

Properties of LCM 4282 and 4290

(i) The LCM of 4290 and 4282 is associative

LCM of 4282 and 4290 = LCM of 4290 and 4282

Related Least Common Multiples of 4282

Related Least Common Multiples of 4290

Frequently Asked Questions on LCM of 4282 and 4290

1. What is the LCM of 4282 and 4290?

Answer: LCM of 4282 and 4290 is 9184890.

2. What are the Factors of 4282?

Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.

3. 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.

4. How to Find the LCM of 4282 and 4290?

Answer:

Least Common Multiple of 4282 and 4290 = 9184890

Step 1: Find the prime factorization of 4282

4282 = 2 x 2141

Step 2: Find the prime factorization of 4290

4290 = 2 x 3 x 5 x 11 x 13

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

LCM = 9184890 = 2 x 3 x 5 x 11 x 13 x 2141

Step 4: Therefore, the least common multiple of 4282 and 4290 is 9184890.