Least Common Multiple of 1795 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 1795 and 1800 the smallest integer that is 646200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1795 and 1800 is 646200.

LCM(1795,1800) = 646200

LCM of 1795 and 1800

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

LCM of:
and

Least Common Multiple of 1795 and 1800

LCM of 1795 and 1800 is 646200

Least common multiple can be found by multiplying the highest exponent prime factors of 1795 and 1800. First we will calculate the prime factors of 1795 and 1800.

Prime Factorization of 1795


5 1795
359 359
1

Prime factors of 1795 are 5,359. Prime factorization of 1795 in exponential form is:

1795 = 51×3591

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 1795 and 1800.

LCM(1795,1800) = 23×32×52×3591
LCM(1795,1800) = 646200

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1, 5, 359, 1795

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 1795 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 1795 and 1800, than apply into the LCM equation.

GCF(1795,1800) = 5
LCM(1795,1800) = ( 1795 × 1800) / 5
LCM(1795,1800) = 3231000 / 5
LCM(1795,1800) = 646200

Properties of LCM 1795 and 1800

(i) The LCM of 1800 and 1795 is associative

LCM of 1795 and 1800 = LCM of 1800 and 1795

Related Least Common Multiples of 1795

Related Least Common Multiples of 1800

Frequently Asked Questions on LCM of 1795 and 1800

1. What is the LCM of 1795 and 1800?

Answer: LCM of 1795 and 1800 is 646200.

2. What are the Factors of 1795?

Answer: Factors of 1795 are 1, 5, 359, 1795. There are 4 integers that are factors of 1795. The greatest factor of 1795 is 1795.

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 1795 and 1800?

Answer:

Least Common Multiple of 1795 and 1800 = 646200

Step 1: Find the prime factorization of 1795

1795 = 5 x 359

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 = 646200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 359

Step 4: Therefore, the least common multiple of 1795 and 1800 is 646200.