Least Common Multiple of 1883 and 1888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1883 and 1888 the smallest integer that is 3555104 that is divisible by both numbers.

Least Common Multiple (LCM) of 1883 and 1888 is 3555104.

LCM(1883,1888) = 3555104

LCM of 1883 and 1888

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

LCM of:
and

Least Common Multiple of 1883 and 1888

LCM of 1883 and 1888 is 3555104

Least common multiple can be found by multiplying the highest exponent prime factors of 1883 and 1888. First we will calculate the prime factors of 1883 and 1888.

Prime Factorization of 1883


7 1883
269 269
1

Prime factors of 1883 are 7,269. Prime factorization of 1883 in exponential form is:

1883 = 71×2691

Prime Factorization of 1888


2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 1888 are 2,59. Prime factorization of 1888 in exponential form is:

1888 = 25×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1883 and 1888.

LCM(1883,1888) = 25×71×591×2691
LCM(1883,1888) = 3555104

Factors of 1883

List of positive integer factors of 1883 that divides 1883 without a remainder.

1, 7, 269, 1883

Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888

Least Common Multiple of 1883 and 1888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1883 and 1888, than apply into the LCM equation.

GCF(1883,1888) = 1
LCM(1883,1888) = ( 1883 × 1888) / 1
LCM(1883,1888) = 3555104 / 1
LCM(1883,1888) = 3555104

Properties of LCM 1883 and 1888

(i) The LCM of 1888 and 1883 is associative

LCM of 1883 and 1888 = LCM of 1888 and 1883

Related Least Common Multiples of 1883

Related Least Common Multiples of 1888

Frequently Asked Questions on LCM of 1883 and 1888

1. What is the LCM of 1883 and 1888?

Answer: LCM of 1883 and 1888 is 3555104.

2. What are the Factors of 1883?

Answer: Factors of 1883 are 1, 7, 269, 1883. There are 4 integers that are factors of 1883. The greatest factor of 1883 is 1883.

3. What are the Factors of 1888?

Answer: Factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888. There are 12 integers that are factors of 1888. The greatest factor of 1888 is 1888.

4. How to Find the LCM of 1883 and 1888?

Answer:

Least Common Multiple of 1883 and 1888 = 3555104

Step 1: Find the prime factorization of 1883

1883 = 7 x 269

Step 2: Find the prime factorization of 1888

1888 = 2 x 2 x 2 x 2 x 2 x 59

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

LCM = 3555104 = 2 x 2 x 2 x 2 x 2 x 7 x 59 x 269

Step 4: Therefore, the least common multiple of 1883 and 1888 is 3555104.