Least Common Multiple of 893 and 900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 893 and 900 the smallest integer that is 803700 that is divisible by both numbers.

Least Common Multiple (LCM) of 893 and 900 is 803700.

LCM(893,900) = 803700

LCM of 893 and 900

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

LCM of:
and

Least Common Multiple of 893 and 900

LCM of 893 and 900 is 803700

Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 900. First we will calculate the prime factors of 893 and 900.

Prime Factorization of 893


19 893
47 47
1

Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:

893 = 191×471

Prime Factorization of 900


2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 900 are 2, 3,5. Prime factorization of 900 in exponential form is:

900 = 22×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 900.

LCM(893,900) = 22×32×52×191×471
LCM(893,900) = 803700

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Least Common Multiple of 893 and 900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 893 and 900, than apply into the LCM equation.

GCF(893,900) = 1
LCM(893,900) = ( 893 × 900) / 1
LCM(893,900) = 803700 / 1
LCM(893,900) = 803700

Properties of LCM 893 and 900

(i) The LCM of 900 and 893 is associative

LCM of 893 and 900 = LCM of 900 and 893

Related Least Common Multiples of 893

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 893 and 900

1. What is the LCM of 893 and 900?

Answer: LCM of 893 and 900 is 803700.

2. What are the Factors of 893?

Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.

3. What are the Factors of 900?

Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.

4. How to Find the LCM of 893 and 900?

Answer:

Least Common Multiple of 893 and 900 = 803700

Step 1: Find the prime factorization of 893

893 = 19 x 47

Step 2: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 803700 = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 47

Step 4: Therefore, the least common multiple of 893 and 900 is 803700.