Least Common Multiple of 883 and 889

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 889 the smallest integer that is 784987 that is divisible by both numbers.

Least Common Multiple (LCM) of 883 and 889 is 784987.

LCM(883,889) = 784987

LCM of 883 and 889

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

LCM of:
and

Least Common Multiple of 883 and 889

LCM of 883 and 889 is 784987

Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 889. First we will calculate the prime factors of 883 and 889.

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 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 889.

LCM(883,889) = 71×1271×8831
LCM(883,889) = 784987

Factors of 883

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

1, 883

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Least Common Multiple of 883 and 889 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 889, than apply into the LCM equation.

GCF(883,889) = 1
LCM(883,889) = ( 883 × 889) / 1
LCM(883,889) = 784987 / 1
LCM(883,889) = 784987

Properties of LCM 883 and 889

(i) The LCM of 889 and 883 is associative

LCM of 883 and 889 = LCM of 889 and 883

Related Least Common Multiples of 883

Related Least Common Multiples of 889

Frequently Asked Questions on LCM of 883 and 889

1. What is the LCM of 883 and 889?

Answer: LCM of 883 and 889 is 784987.

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 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

4. How to Find the LCM of 883 and 889?

Answer:

Least Common Multiple of 883 and 889 = 784987

Step 1: Find the prime factorization of 883

883 = 883

Step 2: Find the prime factorization of 889

889 = 7 x 127

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

LCM = 784987 = 7 x 127 x 883

Step 4: Therefore, the least common multiple of 883 and 889 is 784987.