Least Common Multiple of 3651 and 3657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3651 and 3657 the smallest integer that is 4450569 that is divisible by both numbers.

Least Common Multiple (LCM) of 3651 and 3657 is 4450569.

LCM(3651,3657) = 4450569

LCM of 3651 and 3657

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

LCM of:
and

Least Common Multiple of 3651 and 3657

LCM of 3651 and 3657 is 4450569

Least common multiple can be found by multiplying the highest exponent prime factors of 3651 and 3657. First we will calculate the prime factors of 3651 and 3657.

Prime Factorization of 3651


3 3651
1217 1217
1

Prime factors of 3651 are 3,1217. Prime factorization of 3651 in exponential form is:

3651 = 31×12171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3651 and 3657.

LCM(3651,3657) = 31×231×531×12171
LCM(3651,3657) = 4450569

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1, 3, 1217, 3651

Factors of 3657

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

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

Least Common Multiple of 3651 and 3657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3651 and 3657, than apply into the LCM equation.

GCF(3651,3657) = 3
LCM(3651,3657) = ( 3651 × 3657) / 3
LCM(3651,3657) = 13351707 / 3
LCM(3651,3657) = 4450569

Properties of LCM 3651 and 3657

(i) The LCM of 3657 and 3651 is associative

LCM of 3651 and 3657 = LCM of 3657 and 3651

Related Least Common Multiples of 3651

Related Least Common Multiples of 3657

Frequently Asked Questions on LCM of 3651 and 3657

1. What is the LCM of 3651 and 3657?

Answer: LCM of 3651 and 3657 is 4450569.

2. What are the Factors of 3651?

Answer: Factors of 3651 are 1, 3, 1217, 3651. There are 4 integers that are factors of 3651. The greatest factor of 3651 is 3651.

3. 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.

4. How to Find the LCM of 3651 and 3657?

Answer:

Least Common Multiple of 3651 and 3657 = 4450569

Step 1: Find the prime factorization of 3651

3651 = 3 x 1217

Step 2: Find the prime factorization of 3657

3657 = 3 x 23 x 53

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

LCM = 4450569 = 3 x 23 x 53 x 1217

Step 4: Therefore, the least common multiple of 3651 and 3657 is 4450569.