Least Common Multiple of 1800 and 1807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1800 and 1807 the smallest integer that is 3252600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1800 and 1807 is 3252600.

LCM(1800,1807) = 3252600

LCM of 1800 and 1807

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

LCM of:
and

Least Common Multiple of 1800 and 1807

LCM of 1800 and 1807 is 3252600

Least common multiple can be found by multiplying the highest exponent prime factors of 1800 and 1807. First we will calculate the prime factors of 1800 and 1807.

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

Prime Factorization of 1807


13 1807
139 139
1

Prime factors of 1807 are 13,139. Prime factorization of 1807 in exponential form is:

1807 = 131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1800 and 1807.

LCM(1800,1807) = 23×32×52×131×1391
LCM(1800,1807) = 3252600

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

Factors of 1807

List of positive integer factors of 1807 that divides 1807 without a remainder.

1, 13, 139, 1807

Least Common Multiple of 1800 and 1807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1800 and 1807, than apply into the LCM equation.

GCF(1800,1807) = 1
LCM(1800,1807) = ( 1800 × 1807) / 1
LCM(1800,1807) = 3252600 / 1
LCM(1800,1807) = 3252600

Properties of LCM 1800 and 1807

(i) The LCM of 1807 and 1800 is associative

LCM of 1800 and 1807 = LCM of 1807 and 1800

Related Least Common Multiples of 1800

Related Least Common Multiples of 1807

Frequently Asked Questions on LCM of 1800 and 1807

1. What is the LCM of 1800 and 1807?

Answer: LCM of 1800 and 1807 is 3252600.

2. 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.

3. What are the Factors of 1807?

Answer: Factors of 1807 are 1, 13, 139, 1807. There are 4 integers that are factors of 1807. The greatest factor of 1807 is 1807.

4. How to Find the LCM of 1800 and 1807?

Answer:

Least Common Multiple of 1800 and 1807 = 3252600

Step 1: Find the prime factorization of 1800

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

Step 2: Find the prime factorization of 1807

1807 = 13 x 139

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

LCM = 3252600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 139

Step 4: Therefore, the least common multiple of 1800 and 1807 is 3252600.