Least Common Multiple of 883 and 890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 883 and 890 the smallest integer that is 785870 that is divisible by both numbers.

Least Common Multiple (LCM) of 883 and 890 is 785870.

LCM(883,890) = 785870

LCM of 883 and 890

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

LCM of:
and

Least Common Multiple of 883 and 890

LCM of 883 and 890 is 785870

Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 890. First we will calculate the prime factors of 883 and 890.

Prime Factorization of 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

Prime Factorization of 890


2 890
5 445
89 89
1

Prime factors of 890 are 2, 5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 890.

LCM(883,890) = 21×51×891×8831
LCM(883,890) = 785870

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Least Common Multiple of 883 and 890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 883 and 890, than apply into the LCM equation.

GCF(883,890) = 1
LCM(883,890) = ( 883 × 890) / 1
LCM(883,890) = 785870 / 1
LCM(883,890) = 785870

Properties of LCM 883 and 890

(i) The LCM of 890 and 883 is associative

LCM of 883 and 890 = LCM of 890 and 883

Related Least Common Multiples of 883

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 883 and 890

1. What is the LCM of 883 and 890?

Answer: LCM of 883 and 890 is 785870.

2. What are the Factors of 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

3. What are the Factors of 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

4. How to Find the LCM of 883 and 890?

Answer:

Least Common Multiple of 883 and 890 = 785870

Step 1: Find the prime factorization of 883

883 = 883

Step 2: Find the prime factorization of 890

890 = 2 x 5 x 89

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

LCM = 785870 = 2 x 5 x 89 x 883

Step 4: Therefore, the least common multiple of 883 and 890 is 785870.