Least Common Multiple of 1884 and 1890

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 1890 the smallest integer that is 593460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1884 and 1890 is 593460.

LCM(1884,1890) = 593460

LCM of 1884 and 1890

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

LCM of:
and

Least Common Multiple of 1884 and 1890

LCM of 1884 and 1890 is 593460

Least common multiple can be found by multiplying the highest exponent prime factors of 1884 and 1890. First we will calculate the prime factors of 1884 and 1890.

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 1890


2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 1890 are 2, 3, 5,7. Prime factorization of 1890 in exponential form is:

1890 = 21×33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1884 and 1890.

LCM(1884,1890) = 22×33×51×71×1571
LCM(1884,1890) = 593460

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 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890

Least Common Multiple of 1884 and 1890 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 1890, than apply into the LCM equation.

GCF(1884,1890) = 6
LCM(1884,1890) = ( 1884 × 1890) / 6
LCM(1884,1890) = 3560760 / 6
LCM(1884,1890) = 593460

Properties of LCM 1884 and 1890

(i) The LCM of 1890 and 1884 is associative

LCM of 1884 and 1890 = LCM of 1890 and 1884

Related Least Common Multiples of 1884

Related Least Common Multiples of 1890

Frequently Asked Questions on LCM of 1884 and 1890

1. What is the LCM of 1884 and 1890?

Answer: LCM of 1884 and 1890 is 593460.

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 1890?

Answer: Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890. There are 32 integers that are factors of 1890. The greatest factor of 1890 is 1890.

4. How to Find the LCM of 1884 and 1890?

Answer:

Least Common Multiple of 1884 and 1890 = 593460

Step 1: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 1890

1890 = 2 x 3 x 3 x 3 x 5 x 7

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

LCM = 593460 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 157

Step 4: Therefore, the least common multiple of 1884 and 1890 is 593460.