Least Common Multiple of 3651 and 3653

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 3653 the smallest integer that is 13337103 that is divisible by both numbers.

Least Common Multiple (LCM) of 3651 and 3653 is 13337103.

LCM(3651,3653) = 13337103

LCM of 3651 and 3653

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

LCM of:
and

Least Common Multiple of 3651 and 3653

LCM of 3651 and 3653 is 13337103

Least common multiple can be found by multiplying the highest exponent prime factors of 3651 and 3653. First we will calculate the prime factors of 3651 and 3653.

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 3653


13 3653
281 281
1

Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:

3653 = 131×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 3651 and 3653.

LCM(3651,3653) = 31×131×2811×12171
LCM(3651,3653) = 13337103

Factors of 3651

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

1, 3, 1217, 3651

Factors of 3653

List of positive integer factors of 3653 that divides 3653 without a remainder.

1, 13, 281, 3653

Least Common Multiple of 3651 and 3653 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 3653, than apply into the LCM equation.

GCF(3651,3653) = 1
LCM(3651,3653) = ( 3651 × 3653) / 1
LCM(3651,3653) = 13337103 / 1
LCM(3651,3653) = 13337103

Properties of LCM 3651 and 3653

(i) The LCM of 3653 and 3651 is associative

LCM of 3651 and 3653 = LCM of 3653 and 3651

Related Least Common Multiples of 3651

Related Least Common Multiples of 3653

Frequently Asked Questions on LCM of 3651 and 3653

1. What is the LCM of 3651 and 3653?

Answer: LCM of 3651 and 3653 is 13337103.

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 3653?

Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.

4. How to Find the LCM of 3651 and 3653?

Answer:

Least Common Multiple of 3651 and 3653 = 13337103

Step 1: Find the prime factorization of 3651

3651 = 3 x 1217

Step 2: Find the prime factorization of 3653

3653 = 13 x 281

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

LCM = 13337103 = 3 x 13 x 281 x 1217

Step 4: Therefore, the least common multiple of 3651 and 3653 is 13337103.