Least Common Multiple of 1796 and 1801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1796 and 1801 the smallest integer that is 3234596 that is divisible by both numbers.

Least Common Multiple (LCM) of 1796 and 1801 is 3234596.

LCM(1796,1801) = 3234596

LCM of 1796 and 1801

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

LCM of:
and

Least Common Multiple of 1796 and 1801

LCM of 1796 and 1801 is 3234596

Least common multiple can be found by multiplying the highest exponent prime factors of 1796 and 1801. First we will calculate the prime factors of 1796 and 1801.

Prime Factorization of 1796


2 1796
2 898
449 449
1

Prime factors of 1796 are 2,449. Prime factorization of 1796 in exponential form is:

1796 = 22×4491

Prime Factorization of 1801


1801 1801
1

Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:

1801 = 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 1796 and 1801.

LCM(1796,1801) = 22×4491×18011
LCM(1796,1801) = 3234596

Factors of 1796

List of positive integer factors of 1796 that divides 1796 without a remainder.

1, 2, 4, 449, 898, 1796

Factors of 1801

List of positive integer factors of 1801 that divides 1801 without a remainder.

1, 1801

Least Common Multiple of 1796 and 1801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1796 and 1801, than apply into the LCM equation.

GCF(1796,1801) = 1
LCM(1796,1801) = ( 1796 × 1801) / 1
LCM(1796,1801) = 3234596 / 1
LCM(1796,1801) = 3234596

Properties of LCM 1796 and 1801

(i) The LCM of 1801 and 1796 is associative

LCM of 1796 and 1801 = LCM of 1801 and 1796

Related Least Common Multiples of 1796

Related Least Common Multiples of 1801

Frequently Asked Questions on LCM of 1796 and 1801

1. What is the LCM of 1796 and 1801?

Answer: LCM of 1796 and 1801 is 3234596.

2. What are the Factors of 1796?

Answer: Factors of 1796 are 1, 2, 4, 449, 898, 1796. There are 6 integers that are factors of 1796. The greatest factor of 1796 is 1796.

3. What are the Factors of 1801?

Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.

4. How to Find the LCM of 1796 and 1801?

Answer:

Least Common Multiple of 1796 and 1801 = 3234596

Step 1: Find the prime factorization of 1796

1796 = 2 x 2 x 449

Step 2: Find the prime factorization of 1801

1801 = 1801

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

LCM = 3234596 = 2 x 2 x 449 x 1801

Step 4: Therefore, the least common multiple of 1796 and 1801 is 3234596.