Least Common Multiple of 3678 and 3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3678 and 3685 the smallest integer that is 13553430 that is divisible by both numbers.

Least Common Multiple (LCM) of 3678 and 3685 is 13553430.

LCM(3678,3685) = 13553430

LCM of 3678 and 3685

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

LCM of:
and

Least Common Multiple of 3678 and 3685

LCM of 3678 and 3685 is 13553430

Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3685. First we will calculate the prime factors of 3678 and 3685.

Prime Factorization of 3678


2 3678
3 1839
613 613
1

Prime factors of 3678 are 2, 3,613. Prime factorization of 3678 in exponential form is:

3678 = 21×31×6131

Prime Factorization of 3685


5 3685
11 737
67 67
1

Prime factors of 3685 are 5, 11,67. Prime factorization of 3685 in exponential form is:

3685 = 51×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3678 and 3685.

LCM(3678,3685) = 21×31×51×111×671×6131
LCM(3678,3685) = 13553430

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1, 2, 3, 6, 613, 1226, 1839, 3678

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1, 5, 11, 55, 67, 335, 737, 3685

Least Common Multiple of 3678 and 3685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3678 and 3685, than apply into the LCM equation.

GCF(3678,3685) = 1
LCM(3678,3685) = ( 3678 × 3685) / 1
LCM(3678,3685) = 13553430 / 1
LCM(3678,3685) = 13553430

Properties of LCM 3678 and 3685

(i) The LCM of 3685 and 3678 is associative

LCM of 3678 and 3685 = LCM of 3685 and 3678

Related Least Common Multiples of 3678

Related Least Common Multiples of 3685

Frequently Asked Questions on LCM of 3678 and 3685

1. What is the LCM of 3678 and 3685?

Answer: LCM of 3678 and 3685 is 13553430.

2. What are the Factors of 3678?

Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.

3. What are the Factors of 3685?

Answer: Factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685. There are 8 integers that are factors of 3685. The greatest factor of 3685 is 3685.

4. How to Find the LCM of 3678 and 3685?

Answer:

Least Common Multiple of 3678 and 3685 = 13553430

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

Step 2: Find the prime factorization of 3685

3685 = 5 x 11 x 67

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

LCM = 13553430 = 2 x 3 x 5 x 11 x 67 x 613

Step 4: Therefore, the least common multiple of 3678 and 3685 is 13553430.