Least Common Multiple of 1796 and 1800

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 1800 the smallest integer that is 808200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1796 and 1800 is 808200.

LCM(1796,1800) = 808200

LCM of 1796 and 1800

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

LCM of:
and

Least Common Multiple of 1796 and 1800

LCM of 1796 and 1800 is 808200

Least common multiple can be found by multiplying the highest exponent prime factors of 1796 and 1800. First we will calculate the prime factors of 1796 and 1800.

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 1800


2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 1800 are 2, 3,5. Prime factorization of 1800 in exponential form is:

1800 = 23×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 1796 and 1800.

LCM(1796,1800) = 23×32×52×4491
LCM(1796,1800) = 808200

Factors of 1796

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

1, 2, 4, 449, 898, 1796

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800

Least Common Multiple of 1796 and 1800 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 1800, than apply into the LCM equation.

GCF(1796,1800) = 4
LCM(1796,1800) = ( 1796 × 1800) / 4
LCM(1796,1800) = 3232800 / 4
LCM(1796,1800) = 808200

Properties of LCM 1796 and 1800

(i) The LCM of 1800 and 1796 is associative

LCM of 1796 and 1800 = LCM of 1800 and 1796

Related Least Common Multiples of 1796

Related Least Common Multiples of 1800

Frequently Asked Questions on LCM of 1796 and 1800

1. What is the LCM of 1796 and 1800?

Answer: LCM of 1796 and 1800 is 808200.

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 1800?

Answer: Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. There are 36 integers that are factors of 1800. The greatest factor of 1800 is 1800.

4. How to Find the LCM of 1796 and 1800?

Answer:

Least Common Multiple of 1796 and 1800 = 808200

Step 1: Find the prime factorization of 1796

1796 = 2 x 2 x 449

Step 2: Find the prime factorization of 1800

1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 808200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 449

Step 4: Therefore, the least common multiple of 1796 and 1800 is 808200.