Least Common Multiple of 3609 and 3616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3609 and 3616 the smallest integer that is 13050144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3609 and 3616 is 13050144.

LCM(3609,3616) = 13050144

LCM of 3609 and 3616

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

LCM of:
and

Least Common Multiple of 3609 and 3616

LCM of 3609 and 3616 is 13050144

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3616. First we will calculate the prime factors of 3609 and 3616.

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

Prime Factorization of 3616


2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 3616 are 2,113. Prime factorization of 3616 in exponential form is:

3616 = 25×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3609 and 3616.

LCM(3609,3616) = 25×32×1131×4011
LCM(3609,3616) = 13050144

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203, 3609

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616

Least Common Multiple of 3609 and 3616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3609 and 3616, than apply into the LCM equation.

GCF(3609,3616) = 1
LCM(3609,3616) = ( 3609 × 3616) / 1
LCM(3609,3616) = 13050144 / 1
LCM(3609,3616) = 13050144

Properties of LCM 3609 and 3616

(i) The LCM of 3616 and 3609 is associative

LCM of 3609 and 3616 = LCM of 3616 and 3609

Related Least Common Multiples of 3609

Related Least Common Multiples of 3616

Frequently Asked Questions on LCM of 3609 and 3616

1. What is the LCM of 3609 and 3616?

Answer: LCM of 3609 and 3616 is 13050144.

2. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

3. What are the Factors of 3616?

Answer: Factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616. There are 12 integers that are factors of 3616. The greatest factor of 3616 is 3616.

4. How to Find the LCM of 3609 and 3616?

Answer:

Least Common Multiple of 3609 and 3616 = 13050144

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3616

3616 = 2 x 2 x 2 x 2 x 2 x 113

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

LCM = 13050144 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 113 x 401

Step 4: Therefore, the least common multiple of 3609 and 3616 is 13050144.