Least Common Multiple of 889 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 889 and 890 the smallest integer that is 791210 that is divisible by both numbers.

Least Common Multiple (LCM) of 889 and 890 is 791210.

LCM(889,890) = 791210

LCM of 889 and 890

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

LCM of:
and

Least Common Multiple of 889 and 890

LCM of 889 and 890 is 791210

Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 890. First we will calculate the prime factors of 889 and 890.

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

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 889 and 890.

LCM(889,890) = 21×51×71×891×1271
LCM(889,890) = 791210

Factors of 889

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

1, 7, 127, 889

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 889 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 889 and 890, than apply into the LCM equation.

GCF(889,890) = 1
LCM(889,890) = ( 889 × 890) / 1
LCM(889,890) = 791210 / 1
LCM(889,890) = 791210

Properties of LCM 889 and 890

(i) The LCM of 890 and 889 is associative

LCM of 889 and 890 = LCM of 890 and 889

Related Least Common Multiples of 889

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 889 and 890

1. What is the LCM of 889 and 890?

Answer: LCM of 889 and 890 is 791210.

2. 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.

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 889 and 890?

Answer:

Least Common Multiple of 889 and 890 = 791210

Step 1: Find the prime factorization of 889

889 = 7 x 127

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 = 791210 = 2 x 5 x 7 x 89 x 127

Step 4: Therefore, the least common multiple of 889 and 890 is 791210.