Least Common Multiple of 900 and 906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 900 and 906 the smallest integer that is 135900 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 906 is 135900.

LCM(900,906) = 135900

LCM of 900 and 906

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

LCM of:
and

Least Common Multiple of 900 and 906

LCM of 900 and 906 is 135900

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 906. First we will calculate the prime factors of 900 and 906.

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

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 906.

LCM(900,906) = 22×32×52×1511
LCM(900,906) = 135900

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

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Least Common Multiple of 900 and 906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 900 and 906, than apply into the LCM equation.

GCF(900,906) = 6
LCM(900,906) = ( 900 × 906) / 6
LCM(900,906) = 815400 / 6
LCM(900,906) = 135900

Properties of LCM 900 and 906

(i) The LCM of 906 and 900 is associative

LCM of 900 and 906 = LCM of 906 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 906

Frequently Asked Questions on LCM of 900 and 906

1. What is the LCM of 900 and 906?

Answer: LCM of 900 and 906 is 135900.

2. 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.

3. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

4. How to Find the LCM of 900 and 906?

Answer:

Least Common Multiple of 900 and 906 = 135900

Step 1: Find the prime factorization of 900

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

Step 2: Find the prime factorization of 906

906 = 2 x 3 x 151

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

LCM = 135900 = 2 x 2 x 3 x 3 x 5 x 5 x 151

Step 4: Therefore, the least common multiple of 900 and 906 is 135900.