Least Common Multiple of 889 and 892

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 892 the smallest integer that is 792988 that is divisible by both numbers.

Least Common Multiple (LCM) of 889 and 892 is 792988.

LCM(889,892) = 792988

LCM of 889 and 892

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

LCM of:
and

Least Common Multiple of 889 and 892

LCM of 889 and 892 is 792988

Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 892. First we will calculate the prime factors of 889 and 892.

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 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 889 and 892.

LCM(889,892) = 22×71×1271×2231
LCM(889,892) = 792988

Factors of 889

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

1, 7, 127, 889

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Least Common Multiple of 889 and 892 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 892, than apply into the LCM equation.

GCF(889,892) = 1
LCM(889,892) = ( 889 × 892) / 1
LCM(889,892) = 792988 / 1
LCM(889,892) = 792988

Properties of LCM 889 and 892

(i) The LCM of 892 and 889 is associative

LCM of 889 and 892 = LCM of 892 and 889

Related Least Common Multiples of 889

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 889 and 892

1. What is the LCM of 889 and 892?

Answer: LCM of 889 and 892 is 792988.

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 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

4. How to Find the LCM of 889 and 892?

Answer:

Least Common Multiple of 889 and 892 = 792988

Step 1: Find the prime factorization of 889

889 = 7 x 127

Step 2: Find the prime factorization of 892

892 = 2 x 2 x 223

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

LCM = 792988 = 2 x 2 x 7 x 127 x 223

Step 4: Therefore, the least common multiple of 889 and 892 is 792988.