Least Common Multiple of 904 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 904 and 906 the smallest integer that is 409512 that is divisible by both numbers.

Least Common Multiple (LCM) of 904 and 906 is 409512.

LCM(904,906) = 409512

LCM of 904 and 906

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

LCM of:
and

Least Common Multiple of 904 and 906

LCM of 904 and 906 is 409512

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 906. First we will calculate the prime factors of 904 and 906.

Prime Factorization of 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

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 904 and 906.

LCM(904,906) = 23×31×1131×1511
LCM(904,906) = 409512

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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 904 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 904 and 906, than apply into the LCM equation.

GCF(904,906) = 2
LCM(904,906) = ( 904 × 906) / 2
LCM(904,906) = 819024 / 2
LCM(904,906) = 409512

Properties of LCM 904 and 906

(i) The LCM of 906 and 904 is associative

LCM of 904 and 906 = LCM of 906 and 904

Related Least Common Multiples of 904

Related Least Common Multiples of 906

Frequently Asked Questions on LCM of 904 and 906

1. What is the LCM of 904 and 906?

Answer: LCM of 904 and 906 is 409512.

2. What are the Factors of 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

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 904 and 906?

Answer:

Least Common Multiple of 904 and 906 = 409512

Step 1: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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 = 409512 = 2 x 2 x 2 x 3 x 113 x 151

Step 4: Therefore, the least common multiple of 904 and 906 is 409512.