Least Common Multiple of 4101 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 4101 and 4104 the smallest integer that is 5610168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4101 and 4104 is 5610168.

LCM(4101,4104) = 5610168

LCM of 4101 and 4104

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

LCM of:
and

Least Common Multiple of 4101 and 4104

LCM of 4101 and 4104 is 5610168

Least common multiple can be found by multiplying the highest exponent prime factors of 4101 and 4104. First we will calculate the prime factors of 4101 and 4104.

Prime Factorization of 4101


3 4101
1367 1367
1

Prime factors of 4101 are 3,1367. Prime factorization of 4101 in exponential form is:

4101 = 31×13671

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 4101 and 4104.

LCM(4101,4104) = 23×33×191×13671
LCM(4101,4104) = 5610168

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1, 3, 1367, 4101

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 4101 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 4101 and 4104, than apply into the LCM equation.

GCF(4101,4104) = 3
LCM(4101,4104) = ( 4101 × 4104) / 3
LCM(4101,4104) = 16830504 / 3
LCM(4101,4104) = 5610168

Properties of LCM 4101 and 4104

(i) The LCM of 4104 and 4101 is associative

LCM of 4101 and 4104 = LCM of 4104 and 4101

Related Least Common Multiples of 4101

Related Least Common Multiples of 4104

Frequently Asked Questions on LCM of 4101 and 4104

1. What is the LCM of 4101 and 4104?

Answer: LCM of 4101 and 4104 is 5610168.

2. What are the Factors of 4101?

Answer: Factors of 4101 are 1, 3, 1367, 4101. There are 4 integers that are factors of 4101. The greatest factor of 4101 is 4101.

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 4101 and 4104?

Answer:

Least Common Multiple of 4101 and 4104 = 5610168

Step 1: Find the prime factorization of 4101

4101 = 3 x 1367

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 = 5610168 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 1367

Step 4: Therefore, the least common multiple of 4101 and 4104 is 5610168.