Least Common Multiple of 3672 and 3678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3672 and 3678 the smallest integer that is 2250936 that is divisible by both numbers.

Least Common Multiple (LCM) of 3672 and 3678 is 2250936.

LCM(3672,3678) = 2250936

LCM of 3672 and 3678

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

LCM of:
and

Least Common Multiple of 3672 and 3678

LCM of 3672 and 3678 is 2250936

Least common multiple can be found by multiplying the highest exponent prime factors of 3672 and 3678. First we will calculate the prime factors of 3672 and 3678.

Prime Factorization of 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2, 3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3672 and 3678.

LCM(3672,3678) = 23×33×171×6131
LCM(3672,3678) = 2250936

Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672

Factors of 3678

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

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

Least Common Multiple of 3672 and 3678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3672 and 3678, than apply into the LCM equation.

GCF(3672,3678) = 6
LCM(3672,3678) = ( 3672 × 3678) / 6
LCM(3672,3678) = 13505616 / 6
LCM(3672,3678) = 2250936

Properties of LCM 3672 and 3678

(i) The LCM of 3678 and 3672 is associative

LCM of 3672 and 3678 = LCM of 3678 and 3672

Related Least Common Multiples of 3672

Related Least Common Multiples of 3678

Frequently Asked Questions on LCM of 3672 and 3678

1. What is the LCM of 3672 and 3678?

Answer: LCM of 3672 and 3678 is 2250936.

2. What are the Factors of 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

3. 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.

4. How to Find the LCM of 3672 and 3678?

Answer:

Least Common Multiple of 3672 and 3678 = 2250936

Step 1: Find the prime factorization of 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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

LCM = 2250936 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 613

Step 4: Therefore, the least common multiple of 3672 and 3678 is 2250936.