Least Common Multiple of 1861 and 1865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1861 and 1865 the smallest integer that is 3470765 that is divisible by both numbers.

Least Common Multiple (LCM) of 1861 and 1865 is 3470765.

LCM(1861,1865) = 3470765

LCM of 1861 and 1865

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

LCM of:
and

Least Common Multiple of 1861 and 1865

LCM of 1861 and 1865 is 3470765

Least common multiple can be found by multiplying the highest exponent prime factors of 1861 and 1865. First we will calculate the prime factors of 1861 and 1865.

Prime Factorization of 1861


1861 1861
1

Prime factors of 1861 are 1861. Prime factorization of 1861 in exponential form is:

1861 = 18611

Prime Factorization of 1865


5 1865
373 373
1

Prime factors of 1865 are 5,373. Prime factorization of 1865 in exponential form is:

1865 = 51×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 1861 and 1865.

LCM(1861,1865) = 51×3731×18611
LCM(1861,1865) = 3470765

Factors of 1861

List of positive integer factors of 1861 that divides 1861 without a remainder.

1, 1861

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1, 5, 373, 1865

Least Common Multiple of 1861 and 1865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1861 and 1865, than apply into the LCM equation.

GCF(1861,1865) = 1
LCM(1861,1865) = ( 1861 × 1865) / 1
LCM(1861,1865) = 3470765 / 1
LCM(1861,1865) = 3470765

Properties of LCM 1861 and 1865

(i) The LCM of 1865 and 1861 is associative

LCM of 1861 and 1865 = LCM of 1865 and 1861

Related Least Common Multiples of 1861

Related Least Common Multiples of 1865

Frequently Asked Questions on LCM of 1861 and 1865

1. What is the LCM of 1861 and 1865?

Answer: LCM of 1861 and 1865 is 3470765.

2. What are the Factors of 1861?

Answer: Factors of 1861 are 1, 1861. There are 2 integers that are factors of 1861. The greatest factor of 1861 is 1861.

3. What are the Factors of 1865?

Answer: Factors of 1865 are 1, 5, 373, 1865. There are 4 integers that are factors of 1865. The greatest factor of 1865 is 1865.

4. How to Find the LCM of 1861 and 1865?

Answer:

Least Common Multiple of 1861 and 1865 = 3470765

Step 1: Find the prime factorization of 1861

1861 = 1861

Step 2: Find the prime factorization of 1865

1865 = 5 x 373

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

LCM = 3470765 = 5 x 373 x 1861

Step 4: Therefore, the least common multiple of 1861 and 1865 is 3470765.