Least Common Multiple of 3657 and 3663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3657 and 3663 the smallest integer that is 4465197 that is divisible by both numbers.

Least Common Multiple (LCM) of 3657 and 3663 is 4465197.

LCM(3657,3663) = 4465197

LCM of 3657 and 3663

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

LCM of:
and

Least Common Multiple of 3657 and 3663

LCM of 3657 and 3663 is 4465197

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3663. First we will calculate the prime factors of 3657 and 3663.

Prime Factorization of 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3, 23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

Prime Factorization of 3663


3 3663
3 1221
11 407
37 37
1

Prime factors of 3663 are 3, 11,37. Prime factorization of 3663 in exponential form is:

3663 = 32×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3663.

LCM(3657,3663) = 32×111×231×371×531
LCM(3657,3663) = 4465197

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1, 3, 23, 53, 69, 159, 1219, 3657

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663

Least Common Multiple of 3657 and 3663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3657 and 3663, than apply into the LCM equation.

GCF(3657,3663) = 3
LCM(3657,3663) = ( 3657 × 3663) / 3
LCM(3657,3663) = 13395591 / 3
LCM(3657,3663) = 4465197

Properties of LCM 3657 and 3663

(i) The LCM of 3663 and 3657 is associative

LCM of 3657 and 3663 = LCM of 3663 and 3657

Related Least Common Multiples of 3657

Related Least Common Multiples of 3663

Frequently Asked Questions on LCM of 3657 and 3663

1. What is the LCM of 3657 and 3663?

Answer: LCM of 3657 and 3663 is 4465197.

2. What are the Factors of 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

3. What are the Factors of 3663?

Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.

4. How to Find the LCM of 3657 and 3663?

Answer:

Least Common Multiple of 3657 and 3663 = 4465197

Step 1: Find the prime factorization of 3657

3657 = 3 x 23 x 53

Step 2: Find the prime factorization of 3663

3663 = 3 x 3 x 11 x 37

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

LCM = 4465197 = 3 x 3 x 11 x 23 x 37 x 53

Step 4: Therefore, the least common multiple of 3657 and 3663 is 4465197.