Least Common Multiple of 3642 and 3647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3642 and 3647 the smallest integer that is 13282374 that is divisible by both numbers.

Least Common Multiple (LCM) of 3642 and 3647 is 13282374.

LCM(3642,3647) = 13282374

LCM of 3642 and 3647

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

LCM of:
and

Least Common Multiple of 3642 and 3647

LCM of 3642 and 3647 is 13282374

Least common multiple can be found by multiplying the highest exponent prime factors of 3642 and 3647. First we will calculate the prime factors of 3642 and 3647.

Prime Factorization of 3642


2 3642
3 1821
607 607
1

Prime factors of 3642 are 2, 3,607. Prime factorization of 3642 in exponential form is:

3642 = 21×31×6071

Prime Factorization of 3647


7 3647
521 521
1

Prime factors of 3647 are 7,521. Prime factorization of 3647 in exponential form is:

3647 = 71×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 3642 and 3647.

LCM(3642,3647) = 21×31×71×5211×6071
LCM(3642,3647) = 13282374

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1, 2, 3, 6, 607, 1214, 1821, 3642

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1, 7, 521, 3647

Least Common Multiple of 3642 and 3647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3642 and 3647, than apply into the LCM equation.

GCF(3642,3647) = 1
LCM(3642,3647) = ( 3642 × 3647) / 1
LCM(3642,3647) = 13282374 / 1
LCM(3642,3647) = 13282374

Properties of LCM 3642 and 3647

(i) The LCM of 3647 and 3642 is associative

LCM of 3642 and 3647 = LCM of 3647 and 3642

Related Least Common Multiples of 3642

Related Least Common Multiples of 3647

Frequently Asked Questions on LCM of 3642 and 3647

1. What is the LCM of 3642 and 3647?

Answer: LCM of 3642 and 3647 is 13282374.

2. What are the Factors of 3642?

Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.

3. What are the Factors of 3647?

Answer: Factors of 3647 are 1, 7, 521, 3647. There are 4 integers that are factors of 3647. The greatest factor of 3647 is 3647.

4. How to Find the LCM of 3642 and 3647?

Answer:

Least Common Multiple of 3642 and 3647 = 13282374

Step 1: Find the prime factorization of 3642

3642 = 2 x 3 x 607

Step 2: Find the prime factorization of 3647

3647 = 7 x 521

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

LCM = 13282374 = 2 x 3 x 7 x 521 x 607

Step 4: Therefore, the least common multiple of 3642 and 3647 is 13282374.