Least Common Multiple of 1884 and 1891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1884 and 1891 the smallest integer that is 3562644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1884 and 1891 is 3562644.

LCM(1884,1891) = 3562644

LCM of 1884 and 1891

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

LCM of:
and

Least Common Multiple of 1884 and 1891

LCM of 1884 and 1891 is 3562644

Least common multiple can be found by multiplying the highest exponent prime factors of 1884 and 1891. First we will calculate the prime factors of 1884 and 1891.

Prime Factorization of 1884


2 1884
2 942
3 471
157 157
1

Prime factors of 1884 are 2, 3,157. Prime factorization of 1884 in exponential form is:

1884 = 22×31×1571

Prime Factorization of 1891


31 1891
61 61
1

Prime factors of 1891 are 31,61. Prime factorization of 1891 in exponential form is:

1891 = 311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1884 and 1891.

LCM(1884,1891) = 22×31×311×611×1571
LCM(1884,1891) = 3562644

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884

Factors of 1891

List of positive integer factors of 1891 that divides 1891 without a remainder.

1, 31, 61, 1891

Least Common Multiple of 1884 and 1891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1884 and 1891, than apply into the LCM equation.

GCF(1884,1891) = 1
LCM(1884,1891) = ( 1884 × 1891) / 1
LCM(1884,1891) = 3562644 / 1
LCM(1884,1891) = 3562644

Properties of LCM 1884 and 1891

(i) The LCM of 1891 and 1884 is associative

LCM of 1884 and 1891 = LCM of 1891 and 1884

Related Least Common Multiples of 1884

Related Least Common Multiples of 1891

Frequently Asked Questions on LCM of 1884 and 1891

1. What is the LCM of 1884 and 1891?

Answer: LCM of 1884 and 1891 is 3562644.

2. What are the Factors of 1884?

Answer: Factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884. There are 12 integers that are factors of 1884. The greatest factor of 1884 is 1884.

3. What are the Factors of 1891?

Answer: Factors of 1891 are 1, 31, 61, 1891. There are 4 integers that are factors of 1891. The greatest factor of 1891 is 1891.

4. How to Find the LCM of 1884 and 1891?

Answer:

Least Common Multiple of 1884 and 1891 = 3562644

Step 1: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 1891

1891 = 31 x 61

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

LCM = 3562644 = 2 x 2 x 3 x 31 x 61 x 157

Step 4: Therefore, the least common multiple of 1884 and 1891 is 3562644.