Least Common Multiple of 3607 and 3612

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

• Least Common Multiple of 3607 and 3612 by Prime method
• Least Common Multiple of 3607 and 3612 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 3607 and 3612. First we will calculate the prime factors of 3607 and 3612.

Prime Factorization of 3607

Prime factors of 3607 are 3607. Prime factorization of 3607 in exponential form is:

3607 = 3607¹

Prime Factorization of 3612

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

3612 = 2²×3¹×7¹×43¹

Now multiplying the highest exponent prime factors to calculate the LCM of 3607 and 3612.

LCM(3607,3612) = 2²×3¹×7¹×43¹×3607¹
LCM(3607,3612) = 13028484

Factors of 3607

List of positive integer factors of 3607 that divides 3607 without a remainder.

1, 3607

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3607 and 3612, than apply into the LCM equation.

GCF(3607,3612) = 1
LCM(3607,3612) = ( 3607 × 3612) / 1
LCM(3607,3612) = 13028484 / 1
LCM(3607,3612) = 13028484

(i) The LCM of 3612 and 3607 is associative

LCM of 3607 and 3612 = LCM of 3612 and 3607

1. What is the LCM of 3607 and 3612?

Answer: LCM of 3607 and 3612 is 13028484.

2. What are the Factors of 3607?

Answer: Factors of 3607 are 1, 3607. There are 2 integers that are factors of 3607. The greatest factor of 3607 is 3607.

3. 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.

4. How to Find the LCM of 3607 and 3612?

Answer:

Least Common Multiple of 3607 and 3612 = 13028484

Step 1: Find the prime factorization of 3607

3607 = 3607

Step 2: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

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

LCM = 13028484 = 2 x 2 x 3 x 7 x 43 x 3607

Step 4: Therefore, the least common multiple of 3607 and 3612 is 13028484.