Least Common Multiple of 1860 and 1864

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 1864 the smallest integer that is 866760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1860 and 1864 is 866760.

LCM(1860,1864) = 866760

LCM of 1860 and 1864

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

LCM of:
and

Least Common Multiple of 1860 and 1864

LCM of 1860 and 1864 is 866760

Least common multiple can be found by multiplying the highest exponent prime factors of 1860 and 1864. First we will calculate the prime factors of 1860 and 1864.

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 1864


2 1864
2 932
2 466
233 233
1

Prime factors of 1864 are 2,233. Prime factorization of 1864 in exponential form is:

1864 = 23×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1860 and 1864.

LCM(1860,1864) = 23×31×51×311×2331
LCM(1860,1864) = 866760

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 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1, 2, 4, 8, 233, 466, 932, 1864

Least Common Multiple of 1860 and 1864 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 1864, than apply into the LCM equation.

GCF(1860,1864) = 4
LCM(1860,1864) = ( 1860 × 1864) / 4
LCM(1860,1864) = 3467040 / 4
LCM(1860,1864) = 866760

Properties of LCM 1860 and 1864

(i) The LCM of 1864 and 1860 is associative

LCM of 1860 and 1864 = LCM of 1864 and 1860

Related Least Common Multiples of 1860

Related Least Common Multiples of 1864

Frequently Asked Questions on LCM of 1860 and 1864

1. What is the LCM of 1860 and 1864?

Answer: LCM of 1860 and 1864 is 866760.

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 1864?

Answer: Factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864. There are 8 integers that are factors of 1864. The greatest factor of 1864 is 1864.

4. How to Find the LCM of 1860 and 1864?

Answer:

Least Common Multiple of 1860 and 1864 = 866760

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 1864

1864 = 2 x 2 x 2 x 233

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

LCM = 866760 = 2 x 2 x 2 x 3 x 5 x 31 x 233

Step 4: Therefore, the least common multiple of 1860 and 1864 is 866760.