Least Common Multiple of 4104 and 4108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4104 and 4108 the smallest integer that is 4214808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4104 and 4108 is 4214808.

LCM(4104,4108) = 4214808

LCM of 4104 and 4108

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

LCM of:
and

Least Common Multiple of 4104 and 4108

LCM of 4104 and 4108 is 4214808

Least common multiple can be found by multiplying the highest exponent prime factors of 4104 and 4108. First we will calculate the prime factors of 4104 and 4108.

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

Prime Factorization of 4108


2 4108
2 2054
13 1027
79 79
1

Prime factors of 4108 are 2, 13,79. Prime factorization of 4108 in exponential form is:

4108 = 22×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4104 and 4108.

LCM(4104,4108) = 23×33×131×191×791
LCM(4104,4108) = 4214808

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

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

Least Common Multiple of 4104 and 4108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4104 and 4108, than apply into the LCM equation.

GCF(4104,4108) = 4
LCM(4104,4108) = ( 4104 × 4108) / 4
LCM(4104,4108) = 16859232 / 4
LCM(4104,4108) = 4214808

Properties of LCM 4104 and 4108

(i) The LCM of 4108 and 4104 is associative

LCM of 4104 and 4108 = LCM of 4108 and 4104

Related Least Common Multiples of 4104

Related Least Common Multiples of 4108

Frequently Asked Questions on LCM of 4104 and 4108

1. What is the LCM of 4104 and 4108?

Answer: LCM of 4104 and 4108 is 4214808.

2. 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.

3. What are the Factors of 4108?

Answer: Factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108. There are 12 integers that are factors of 4108. The greatest factor of 4108 is 4108.

4. How to Find the LCM of 4104 and 4108?

Answer:

Least Common Multiple of 4104 and 4108 = 4214808

Step 1: Find the prime factorization of 4104

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

Step 2: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

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

LCM = 4214808 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 x 79

Step 4: Therefore, the least common multiple of 4104 and 4108 is 4214808.