Least Common Multiple of 1787 and 1795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1787 and 1795 the smallest integer that is 3207665 that is divisible by both numbers.

Least Common Multiple (LCM) of 1787 and 1795 is 3207665.

LCM(1787,1795) = 3207665

LCM of 1787 and 1795

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

LCM of:
and

Least Common Multiple of 1787 and 1795

LCM of 1787 and 1795 is 3207665

Least common multiple can be found by multiplying the highest exponent prime factors of 1787 and 1795. First we will calculate the prime factors of 1787 and 1795.

Prime Factorization of 1787


1787 1787
1

Prime factors of 1787 are 1787. Prime factorization of 1787 in exponential form is:

1787 = 17871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1787 and 1795.

LCM(1787,1795) = 51×3591×17871
LCM(1787,1795) = 3207665

Factors of 1787

List of positive integer factors of 1787 that divides 1787 without a remainder.

1, 1787

Factors of 1795

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

1, 5, 359, 1795

Least Common Multiple of 1787 and 1795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1787 and 1795, than apply into the LCM equation.

GCF(1787,1795) = 1
LCM(1787,1795) = ( 1787 × 1795) / 1
LCM(1787,1795) = 3207665 / 1
LCM(1787,1795) = 3207665

Properties of LCM 1787 and 1795

(i) The LCM of 1795 and 1787 is associative

LCM of 1787 and 1795 = LCM of 1795 and 1787

Related Least Common Multiples of 1787

Related Least Common Multiples of 1795

Frequently Asked Questions on LCM of 1787 and 1795

1. What is the LCM of 1787 and 1795?

Answer: LCM of 1787 and 1795 is 3207665.

2. What are the Factors of 1787?

Answer: Factors of 1787 are 1, 1787. There are 2 integers that are factors of 1787. The greatest factor of 1787 is 1787.

3. 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.

4. How to Find the LCM of 1787 and 1795?

Answer:

Least Common Multiple of 1787 and 1795 = 3207665

Step 1: Find the prime factorization of 1787

1787 = 1787

Step 2: Find the prime factorization of 1795

1795 = 5 x 359

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

LCM = 3207665 = 5 x 359 x 1787

Step 4: Therefore, the least common multiple of 1787 and 1795 is 3207665.