Least Common Multiple of 3607 and 3614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3607 and 3614 the smallest integer that is 13035698 that is divisible by both numbers.

Least Common Multiple (LCM) of 3607 and 3614 is 13035698.

LCM(3607,3614) = 13035698

LCM of 3607 and 3614

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

LCM of:
and

Least Common Multiple of 3607 and 3614

LCM of 3607 and 3614 is 13035698

Least common multiple can be found by multiplying the highest exponent prime factors of 3607 and 3614. First we will calculate the prime factors of 3607 and 3614.

Prime Factorization of 3607


3607 3607
1

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

3607 = 36071

Prime Factorization of 3614


2 3614
13 1807
139 139
1

Prime factors of 3614 are 2, 13,139. Prime factorization of 3614 in exponential form is:

3614 = 21×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3607 and 3614.

LCM(3607,3614) = 21×131×1391×36071
LCM(3607,3614) = 13035698

Factors of 3607

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

1, 3607

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1, 2, 13, 26, 139, 278, 1807, 3614

Least Common Multiple of 3607 and 3614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3607 and 3614, than apply into the LCM equation.

GCF(3607,3614) = 1
LCM(3607,3614) = ( 3607 × 3614) / 1
LCM(3607,3614) = 13035698 / 1
LCM(3607,3614) = 13035698

Properties of LCM 3607 and 3614

(i) The LCM of 3614 and 3607 is associative

LCM of 3607 and 3614 = LCM of 3614 and 3607

Related Least Common Multiples of 3607

Related Least Common Multiples of 3614

Frequently Asked Questions on LCM of 3607 and 3614

1. What is the LCM of 3607 and 3614?

Answer: LCM of 3607 and 3614 is 13035698.

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 3614?

Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.

4. How to Find the LCM of 3607 and 3614?

Answer:

Least Common Multiple of 3607 and 3614 = 13035698

Step 1: Find the prime factorization of 3607

3607 = 3607

Step 2: Find the prime factorization of 3614

3614 = 2 x 13 x 139

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

LCM = 13035698 = 2 x 13 x 139 x 3607

Step 4: Therefore, the least common multiple of 3607 and 3614 is 13035698.