Least Common Multiple of 3612 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 3612 and 3616 the smallest integer that is 3265248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3612 and 3616 is 3265248.

LCM(3612,3616) = 3265248

LCM of 3612 and 3616

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

LCM of:
and

Least Common Multiple of 3612 and 3616

LCM of 3612 and 3616 is 3265248

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3616. First we will calculate the prime factors of 3612 and 3616.

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2, 3, 7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

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 3612 and 3616.

LCM(3612,3616) = 25×31×71×431×1131
LCM(3612,3616) = 3265248

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612

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 3612 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 3612 and 3616, than apply into the LCM equation.

GCF(3612,3616) = 4
LCM(3612,3616) = ( 3612 × 3616) / 4
LCM(3612,3616) = 13060992 / 4
LCM(3612,3616) = 3265248

Properties of LCM 3612 and 3616

(i) The LCM of 3616 and 3612 is associative

LCM of 3612 and 3616 = LCM of 3616 and 3612

Related Least Common Multiples of 3612

Related Least Common Multiples of 3616

Frequently Asked Questions on LCM of 3612 and 3616

1. What is the LCM of 3612 and 3616?

Answer: LCM of 3612 and 3616 is 3265248.

2. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

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 3612 and 3616?

Answer:

Least Common Multiple of 3612 and 3616 = 3265248

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

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 = 3265248 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 43 x 113

Step 4: Therefore, the least common multiple of 3612 and 3616 is 3265248.