Least Common Multiple of 3637 and 3642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3637 and 3642 the smallest integer that is 13245954 that is divisible by both numbers.

Least Common Multiple (LCM) of 3637 and 3642 is 13245954.

LCM(3637,3642) = 13245954

LCM of 3637 and 3642

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

LCM of:
and

Least Common Multiple of 3637 and 3642

LCM of 3637 and 3642 is 13245954

Least common multiple can be found by multiplying the highest exponent prime factors of 3637 and 3642. First we will calculate the prime factors of 3637 and 3642.

Prime Factorization of 3637


3637 3637
1

Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:

3637 = 36371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3637 and 3642.

LCM(3637,3642) = 21×31×6071×36371
LCM(3637,3642) = 13245954

Factors of 3637

List of positive integer factors of 3637 that divides 3637 without a remainder.

1, 3637

Factors of 3642

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

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

Least Common Multiple of 3637 and 3642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3637 and 3642, than apply into the LCM equation.

GCF(3637,3642) = 1
LCM(3637,3642) = ( 3637 × 3642) / 1
LCM(3637,3642) = 13245954 / 1
LCM(3637,3642) = 13245954

Properties of LCM 3637 and 3642

(i) The LCM of 3642 and 3637 is associative

LCM of 3637 and 3642 = LCM of 3642 and 3637

Related Least Common Multiples of 3637

Related Least Common Multiples of 3642

Frequently Asked Questions on LCM of 3637 and 3642

1. What is the LCM of 3637 and 3642?

Answer: LCM of 3637 and 3642 is 13245954.

2. What are the Factors of 3637?

Answer: Factors of 3637 are 1, 3637. There are 2 integers that are factors of 3637. The greatest factor of 3637 is 3637.

3. 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.

4. How to Find the LCM of 3637 and 3642?

Answer:

Least Common Multiple of 3637 and 3642 = 13245954

Step 1: Find the prime factorization of 3637

3637 = 3637

Step 2: Find the prime factorization of 3642

3642 = 2 x 3 x 607

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

LCM = 13245954 = 2 x 3 x 607 x 3637

Step 4: Therefore, the least common multiple of 3637 and 3642 is 13245954.