Least Common Multiple of 3672 and 3677

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 3677 the smallest integer that is 13501944 that is divisible by both numbers.

Least Common Multiple (LCM) of 3672 and 3677 is 13501944.

LCM(3672,3677) = 13501944

LCM of 3672 and 3677

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

LCM of:
and

Least Common Multiple of 3672 and 3677

LCM of 3672 and 3677 is 13501944

Least common multiple can be found by multiplying the highest exponent prime factors of 3672 and 3677. First we will calculate the prime factors of 3672 and 3677.

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 3677


3677 3677
1

Prime factors of 3677 are 3677. Prime factorization of 3677 in exponential form is:

3677 = 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 3672 and 3677.

LCM(3672,3677) = 23×33×171×36771
LCM(3672,3677) = 13501944

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 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1, 3677

Least Common Multiple of 3672 and 3677 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 3677, than apply into the LCM equation.

GCF(3672,3677) = 1
LCM(3672,3677) = ( 3672 × 3677) / 1
LCM(3672,3677) = 13501944 / 1
LCM(3672,3677) = 13501944

Properties of LCM 3672 and 3677

(i) The LCM of 3677 and 3672 is associative

LCM of 3672 and 3677 = LCM of 3677 and 3672

Related Least Common Multiples of 3672

Related Least Common Multiples of 3677

Frequently Asked Questions on LCM of 3672 and 3677

1. What is the LCM of 3672 and 3677?

Answer: LCM of 3672 and 3677 is 13501944.

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 3677?

Answer: Factors of 3677 are 1, 3677. There are 2 integers that are factors of 3677. The greatest factor of 3677 is 3677.

4. How to Find the LCM of 3672 and 3677?

Answer:

Least Common Multiple of 3672 and 3677 = 13501944

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 3677

3677 = 3677

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

LCM = 13501944 = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 3677

Step 4: Therefore, the least common multiple of 3672 and 3677 is 13501944.