Least Common Multiple of 1853 and 1860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1853 and 1860 the smallest integer that is 3446580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1853 and 1860 is 3446580.

LCM(1853,1860) = 3446580

LCM of 1853 and 1860

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

LCM of:
and

Least Common Multiple of 1853 and 1860

LCM of 1853 and 1860 is 3446580

Least common multiple can be found by multiplying the highest exponent prime factors of 1853 and 1860. First we will calculate the prime factors of 1853 and 1860.

Prime Factorization of 1853


17 1853
109 109
1

Prime factors of 1853 are 17,109. Prime factorization of 1853 in exponential form is:

1853 = 171×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1853 and 1860.

LCM(1853,1860) = 22×31×51×171×311×1091
LCM(1853,1860) = 3446580

Factors of 1853

List of positive integer factors of 1853 that divides 1853 without a remainder.

1, 17, 109, 1853

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

Least Common Multiple of 1853 and 1860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1853 and 1860, than apply into the LCM equation.

GCF(1853,1860) = 1
LCM(1853,1860) = ( 1853 × 1860) / 1
LCM(1853,1860) = 3446580 / 1
LCM(1853,1860) = 3446580

Properties of LCM 1853 and 1860

(i) The LCM of 1860 and 1853 is associative

LCM of 1853 and 1860 = LCM of 1860 and 1853

Related Least Common Multiples of 1853

Related Least Common Multiples of 1860

Frequently Asked Questions on LCM of 1853 and 1860

1. What is the LCM of 1853 and 1860?

Answer: LCM of 1853 and 1860 is 3446580.

2. What are the Factors of 1853?

Answer: Factors of 1853 are 1, 17, 109, 1853. There are 4 integers that are factors of 1853. The greatest factor of 1853 is 1853.

3. 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.

4. How to Find the LCM of 1853 and 1860?

Answer:

Least Common Multiple of 1853 and 1860 = 3446580

Step 1: Find the prime factorization of 1853

1853 = 17 x 109

Step 2: Find the prime factorization of 1860

1860 = 2 x 2 x 3 x 5 x 31

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

LCM = 3446580 = 2 x 2 x 3 x 5 x 17 x 31 x 109

Step 4: Therefore, the least common multiple of 1853 and 1860 is 3446580.