Least Common Multiple of 4290 and 4296

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 4296 the smallest integer that is 3071640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4290 and 4296 is 3071640.

LCM(4290,4296) = 3071640

LCM of 4290 and 4296

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

LCM of:
and

Least Common Multiple of 4290 and 4296

LCM of 4290 and 4296 is 3071640

Least common multiple can be found by multiplying the highest exponent prime factors of 4290 and 4296. First we will calculate the prime factors of 4290 and 4296.

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 4296


2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 4296 are 2, 3,179. Prime factorization of 4296 in exponential form is:

4296 = 23×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4290 and 4296.

LCM(4290,4296) = 23×31×51×111×131×1791
LCM(4290,4296) = 3071640

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 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296

Least Common Multiple of 4290 and 4296 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 4296, than apply into the LCM equation.

GCF(4290,4296) = 6
LCM(4290,4296) = ( 4290 × 4296) / 6
LCM(4290,4296) = 18429840 / 6
LCM(4290,4296) = 3071640

Properties of LCM 4290 and 4296

(i) The LCM of 4296 and 4290 is associative

LCM of 4290 and 4296 = LCM of 4296 and 4290

Related Least Common Multiples of 4290

Related Least Common Multiples of 4296

Frequently Asked Questions on LCM of 4290 and 4296

1. What is the LCM of 4290 and 4296?

Answer: LCM of 4290 and 4296 is 3071640.

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 4296?

Answer: Factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296. There are 16 integers that are factors of 4296. The greatest factor of 4296 is 4296.

4. How to Find the LCM of 4290 and 4296?

Answer:

Least Common Multiple of 4290 and 4296 = 3071640

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 4296

4296 = 2 x 2 x 2 x 3 x 179

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

LCM = 3071640 = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 179

Step 4: Therefore, the least common multiple of 4290 and 4296 is 3071640.