Least Common Multiple of 892 and 899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 892 and 899 the smallest integer that is 801908 that is divisible by both numbers.

Least Common Multiple (LCM) of 892 and 899 is 801908.

LCM(892,899) = 801908

LCM of 892 and 899

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

LCM of:
and

Least Common Multiple of 892 and 899

LCM of 892 and 899 is 801908

Least common multiple can be found by multiplying the highest exponent prime factors of 892 and 899. First we will calculate the prime factors of 892 and 899.

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

Prime Factorization of 899


29 899
31 31
1

Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:

899 = 291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 892 and 899.

LCM(892,899) = 22×291×311×2231
LCM(892,899) = 801908

Factors of 892

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

1, 2, 4, 223, 446, 892

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Least Common Multiple of 892 and 899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 892 and 899, than apply into the LCM equation.

GCF(892,899) = 1
LCM(892,899) = ( 892 × 899) / 1
LCM(892,899) = 801908 / 1
LCM(892,899) = 801908

Properties of LCM 892 and 899

(i) The LCM of 899 and 892 is associative

LCM of 892 and 899 = LCM of 899 and 892

Related Least Common Multiples of 892

Related Least Common Multiples of 899

Frequently Asked Questions on LCM of 892 and 899

1. What is the LCM of 892 and 899?

Answer: LCM of 892 and 899 is 801908.

2. 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.

3. What are the Factors of 899?

Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.

4. How to Find the LCM of 892 and 899?

Answer:

Least Common Multiple of 892 and 899 = 801908

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

Step 2: Find the prime factorization of 899

899 = 29 x 31

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

LCM = 801908 = 2 x 2 x 29 x 31 x 223

Step 4: Therefore, the least common multiple of 892 and 899 is 801908.