Least Common Multiple of 3698 and 3699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3698 and 3699 the smallest integer that is 13678902 that is divisible by both numbers.

Least Common Multiple (LCM) of 3698 and 3699 is 13678902.

LCM(3698,3699) = 13678902

LCM of 3698 and 3699

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

LCM of:
and

Least Common Multiple of 3698 and 3699

LCM of 3698 and 3699 is 13678902

Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3699. First we will calculate the prime factors of 3698 and 3699.

Prime Factorization of 3698


2 3698
43 1849
43 43
1

Prime factors of 3698 are 2,43. Prime factorization of 3698 in exponential form is:

3698 = 21×432

Prime Factorization of 3699


3 3699
3 1233
3 411
137 137
1

Prime factors of 3699 are 3,137. Prime factorization of 3699 in exponential form is:

3699 = 33×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3699.

LCM(3698,3699) = 21×33×432×1371
LCM(3698,3699) = 13678902

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1, 2, 43, 86, 1849, 3698

Factors of 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1, 3, 9, 27, 137, 411, 1233, 3699

Least Common Multiple of 3698 and 3699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3698 and 3699, than apply into the LCM equation.

GCF(3698,3699) = 1
LCM(3698,3699) = ( 3698 × 3699) / 1
LCM(3698,3699) = 13678902 / 1
LCM(3698,3699) = 13678902

Properties of LCM 3698 and 3699

(i) The LCM of 3699 and 3698 is associative

LCM of 3698 and 3699 = LCM of 3699 and 3698

Related Least Common Multiples of 3698

Related Least Common Multiples of 3699

Frequently Asked Questions on LCM of 3698 and 3699

1. What is the LCM of 3698 and 3699?

Answer: LCM of 3698 and 3699 is 13678902.

2. What are the Factors of 3698?

Answer: Factors of 3698 are 1, 2, 43, 86, 1849, 3698. There are 6 integers that are factors of 3698. The greatest factor of 3698 is 3698.

3. What are the Factors of 3699?

Answer: Factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699. There are 8 integers that are factors of 3699. The greatest factor of 3699 is 3699.

4. How to Find the LCM of 3698 and 3699?

Answer:

Least Common Multiple of 3698 and 3699 = 13678902

Step 1: Find the prime factorization of 3698

3698 = 2 x 43 x 43

Step 2: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

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

LCM = 13678902 = 2 x 3 x 3 x 3 x 43 x 43 x 137

Step 4: Therefore, the least common multiple of 3698 and 3699 is 13678902.