Least Common Multiple of 4098 and 4101

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 4101 the smallest integer that is 5601966 that is divisible by both numbers.

Least Common Multiple (LCM) of 4098 and 4101 is 5601966.

LCM(4098,4101) = 5601966

LCM of 4098 and 4101

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

LCM of:
and

Least Common Multiple of 4098 and 4101

LCM of 4098 and 4101 is 5601966

Least common multiple can be found by multiplying the highest exponent prime factors of 4098 and 4101. First we will calculate the prime factors of 4098 and 4101.

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 4101


3 4101
1367 1367
1

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

4101 = 31×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 4098 and 4101.

LCM(4098,4101) = 21×31×6831×13671
LCM(4098,4101) = 5601966

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 4101

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

1, 3, 1367, 4101

Least Common Multiple of 4098 and 4101 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 4101, than apply into the LCM equation.

GCF(4098,4101) = 3
LCM(4098,4101) = ( 4098 × 4101) / 3
LCM(4098,4101) = 16805898 / 3
LCM(4098,4101) = 5601966

Properties of LCM 4098 and 4101

(i) The LCM of 4101 and 4098 is associative

LCM of 4098 and 4101 = LCM of 4101 and 4098

Related Least Common Multiples of 4098

Related Least Common Multiples of 4101

Frequently Asked Questions on LCM of 4098 and 4101

1. What is the LCM of 4098 and 4101?

Answer: LCM of 4098 and 4101 is 5601966.

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 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.

4. How to Find the LCM of 4098 and 4101?

Answer:

Least Common Multiple of 4098 and 4101 = 5601966

Step 1: Find the prime factorization of 4098

4098 = 2 x 3 x 683

Step 2: Find the prime factorization of 4101

4101 = 3 x 1367

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

LCM = 5601966 = 2 x 3 x 683 x 1367

Step 4: Therefore, the least common multiple of 4098 and 4101 is 5601966.