Least Common Multiple of 4098 and 4104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4098 and 4104 the smallest integer that is 2803032 that is divisible by both numbers.

Least Common Multiple (LCM) of 4098 and 4104 is 2803032.

LCM(4098,4104) = 2803032

LCM of 4098 and 4104

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

LCM of:
and

Least Common Multiple of 4098 and 4104

LCM of 4098 and 4104 is 2803032

Least common multiple can be found by multiplying the highest exponent prime factors of 4098 and 4104. First we will calculate the prime factors of 4098 and 4104.

Prime Factorization of 4098


2 4098
3 2049
683 683
1

Prime factors of 4098 are 2, 3,683. Prime factorization of 4098 in exponential form is:

4098 = 21×31×6831

Prime Factorization of 4104


2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 4104 are 2, 3,19. Prime factorization of 4104 in exponential form is:

4104 = 23×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4098 and 4104.

LCM(4098,4104) = 23×33×191×6831
LCM(4098,4104) = 2803032

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1, 2, 3, 6, 683, 1366, 2049, 4098

Factors of 4104

List of positive integer factors of 4104 that divides 4104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104

Least Common Multiple of 4098 and 4104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4098 and 4104, than apply into the LCM equation.

GCF(4098,4104) = 6
LCM(4098,4104) = ( 4098 × 4104) / 6
LCM(4098,4104) = 16818192 / 6
LCM(4098,4104) = 2803032

Properties of LCM 4098 and 4104

(i) The LCM of 4104 and 4098 is associative

LCM of 4098 and 4104 = LCM of 4104 and 4098

Related Least Common Multiples of 4098

Related Least Common Multiples of 4104

Frequently Asked Questions on LCM of 4098 and 4104

1. What is the LCM of 4098 and 4104?

Answer: LCM of 4098 and 4104 is 2803032.

2. What are the Factors of 4098?

Answer: Factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098. There are 8 integers that are factors of 4098. The greatest factor of 4098 is 4098.

3. What are the Factors of 4104?

Answer: Factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. There are 32 integers that are factors of 4104. The greatest factor of 4104 is 4104.

4. How to Find the LCM of 4098 and 4104?

Answer:

Least Common Multiple of 4098 and 4104 = 2803032

Step 1: Find the prime factorization of 4098

4098 = 2 x 3 x 683

Step 2: Find the prime factorization of 4104

4104 = 2 x 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 2803032 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 683

Step 4: Therefore, the least common multiple of 4098 and 4104 is 2803032.