Least Common Multiple of 902 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 902 and 906 the smallest integer that is 408606 that is divisible by both numbers.

Least Common Multiple (LCM) of 902 and 906 is 408606.

LCM(902,906) = 408606

LCM of 902 and 906

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

LCM of:
and

Least Common Multiple of 902 and 906

LCM of 902 and 906 is 408606

Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 906. First we will calculate the prime factors of 902 and 906.

Prime Factorization of 902


2 902
11 451
41 41
1

Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

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 902 and 906.

LCM(902,906) = 21×31×111×411×1511
LCM(902,906) = 408606

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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 902 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 902 and 906, than apply into the LCM equation.

GCF(902,906) = 2
LCM(902,906) = ( 902 × 906) / 2
LCM(902,906) = 817212 / 2
LCM(902,906) = 408606

Properties of LCM 902 and 906

(i) The LCM of 906 and 902 is associative

LCM of 902 and 906 = LCM of 906 and 902

Related Least Common Multiples of 902

Related Least Common Multiples of 906

Frequently Asked Questions on LCM of 902 and 906

1. What is the LCM of 902 and 906?

Answer: LCM of 902 and 906 is 408606.

2. What are the Factors of 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

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 902 and 906?

Answer:

Least Common Multiple of 902 and 906 = 408606

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

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 = 408606 = 2 x 3 x 11 x 41 x 151

Step 4: Therefore, the least common multiple of 902 and 906 is 408606.