Least Common Multiple of 1635 and 1641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1635 and 1641 the smallest integer that is 894345 that is divisible by both numbers.

Least Common Multiple (LCM) of 1635 and 1641 is 894345.

LCM(1635,1641) = 894345

LCM of 1635 and 1641

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

LCM of:
and

Least Common Multiple of 1635 and 1641

LCM of 1635 and 1641 is 894345

Least common multiple can be found by multiplying the highest exponent prime factors of 1635 and 1641. First we will calculate the prime factors of 1635 and 1641.

Prime Factorization of 1635


3 1635
5 545
109 109
1

Prime factors of 1635 are 3, 5,109. Prime factorization of 1635 in exponential form is:

1635 = 31×51×1091

Prime Factorization of 1641


3 1641
547 547
1

Prime factors of 1641 are 3,547. Prime factorization of 1641 in exponential form is:

1641 = 31×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 1635 and 1641.

LCM(1635,1641) = 31×51×1091×5471
LCM(1635,1641) = 894345

Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1, 3, 5, 15, 109, 327, 545, 1635

Factors of 1641

List of positive integer factors of 1641 that divides 1641 without a remainder.

1, 3, 547, 1641

Least Common Multiple of 1635 and 1641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1635 and 1641, than apply into the LCM equation.

GCF(1635,1641) = 3
LCM(1635,1641) = ( 1635 × 1641) / 3
LCM(1635,1641) = 2683035 / 3
LCM(1635,1641) = 894345

Properties of LCM 1635 and 1641

(i) The LCM of 1641 and 1635 is associative

LCM of 1635 and 1641 = LCM of 1641 and 1635

Related Least Common Multiples of 1635

Related Least Common Multiples of 1641

Frequently Asked Questions on LCM of 1635 and 1641

1. What is the LCM of 1635 and 1641?

Answer: LCM of 1635 and 1641 is 894345.

2. What are the Factors of 1635?

Answer: Factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635. There are 8 integers that are factors of 1635. The greatest factor of 1635 is 1635.

3. What are the Factors of 1641?

Answer: Factors of 1641 are 1, 3, 547, 1641. There are 4 integers that are factors of 1641. The greatest factor of 1641 is 1641.

4. How to Find the LCM of 1635 and 1641?

Answer:

Least Common Multiple of 1635 and 1641 = 894345

Step 1: Find the prime factorization of 1635

1635 = 3 x 5 x 109

Step 2: Find the prime factorization of 1641

1641 = 3 x 547

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

LCM = 894345 = 3 x 5 x 109 x 547

Step 4: Therefore, the least common multiple of 1635 and 1641 is 894345.