Least Common Multiple of 1860 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 1860 and 1865 the smallest integer that is 693780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1860 and 1865 is 693780.

LCM(1860,1865) = 693780

LCM of 1860 and 1865

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

LCM of:
and

Least Common Multiple of 1860 and 1865

LCM of 1860 and 1865 is 693780

Least common multiple can be found by multiplying the highest exponent prime factors of 1860 and 1865. First we will calculate the prime factors of 1860 and 1865.

Prime Factorization of 1860


2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 1860 are 2, 3, 5,31. Prime factorization of 1860 in exponential form is:

1860 = 22×31×51×311

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 1860 and 1865.

LCM(1860,1865) = 22×31×51×311×3731
LCM(1860,1865) = 693780

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860

Factors of 1865

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

1, 5, 373, 1865

Least Common Multiple of 1860 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 1860 and 1865, than apply into the LCM equation.

GCF(1860,1865) = 5
LCM(1860,1865) = ( 1860 × 1865) / 5
LCM(1860,1865) = 3468900 / 5
LCM(1860,1865) = 693780

Properties of LCM 1860 and 1865

(i) The LCM of 1865 and 1860 is associative

LCM of 1860 and 1865 = LCM of 1865 and 1860

Related Least Common Multiples of 1860

Related Least Common Multiples of 1865

Frequently Asked Questions on LCM of 1860 and 1865

1. What is the LCM of 1860 and 1865?

Answer: LCM of 1860 and 1865 is 693780.

2. What are the Factors of 1860?

Answer: Factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860. There are 24 integers that are factors of 1860. The greatest factor of 1860 is 1860.

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 1860 and 1865?

Answer:

Least Common Multiple of 1860 and 1865 = 693780

Step 1: Find the prime factorization of 1860

1860 = 2 x 2 x 3 x 5 x 31

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 = 693780 = 2 x 2 x 3 x 5 x 31 x 373

Step 4: Therefore, the least common multiple of 1860 and 1865 is 693780.