Least Common Multiple of 3635 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 3635 and 3642 the smallest integer that is 13238670 that is divisible by both numbers.

Least Common Multiple (LCM) of 3635 and 3642 is 13238670.

LCM(3635,3642) = 13238670

LCM of 3635 and 3642

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

LCM of:
and

Least Common Multiple of 3635 and 3642

LCM of 3635 and 3642 is 13238670

Least common multiple can be found by multiplying the highest exponent prime factors of 3635 and 3642. First we will calculate the prime factors of 3635 and 3642.

Prime Factorization of 3635


5 3635
727 727
1

Prime factors of 3635 are 5,727. Prime factorization of 3635 in exponential form is:

3635 = 51×7271

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 3635 and 3642.

LCM(3635,3642) = 21×31×51×6071×7271
LCM(3635,3642) = 13238670

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1, 5, 727, 3635

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 3635 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 3635 and 3642, than apply into the LCM equation.

GCF(3635,3642) = 1
LCM(3635,3642) = ( 3635 × 3642) / 1
LCM(3635,3642) = 13238670 / 1
LCM(3635,3642) = 13238670

Properties of LCM 3635 and 3642

(i) The LCM of 3642 and 3635 is associative

LCM of 3635 and 3642 = LCM of 3642 and 3635

Related Least Common Multiples of 3635

Related Least Common Multiples of 3642

Frequently Asked Questions on LCM of 3635 and 3642

1. What is the LCM of 3635 and 3642?

Answer: LCM of 3635 and 3642 is 13238670.

2. What are the Factors of 3635?

Answer: Factors of 3635 are 1, 5, 727, 3635. There are 4 integers that are factors of 3635. The greatest factor of 3635 is 3635.

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 3635 and 3642?

Answer:

Least Common Multiple of 3635 and 3642 = 13238670

Step 1: Find the prime factorization of 3635

3635 = 5 x 727

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 = 13238670 = 2 x 3 x 5 x 607 x 727

Step 4: Therefore, the least common multiple of 3635 and 3642 is 13238670.