Least Common Multiple of 7802 and 7806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7802 and 7806 the smallest integer that is 30451206 that is divisible by both numbers.

Least Common Multiple (LCM) of 7802 and 7806 is 30451206.

LCM(7802,7806) = 30451206

LCM of 7802 and 7806

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

LCM of:
and

Least Common Multiple of 7802 and 7806

LCM of 7802 and 7806 is 30451206

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7806. First we will calculate the prime factors of 7802 and 7806.

Prime Factorization of 7802


2 7802
47 3901
83 83
1

Prime factors of 7802 are 2, 47,83. Prime factorization of 7802 in exponential form is:

7802 = 21×471×831

Prime Factorization of 7806


2 7806
3 3903
1301 1301
1

Prime factors of 7806 are 2, 3,1301. Prime factorization of 7806 in exponential form is:

7806 = 21×31×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7806.

LCM(7802,7806) = 21×31×471×831×13011
LCM(7802,7806) = 30451206

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1, 2, 47, 83, 94, 166, 3901, 7802

Factors of 7806

List of positive integer factors of 7806 that divides 7806 without a remainder.

1, 2, 3, 6, 1301, 2602, 3903, 7806

Least Common Multiple of 7802 and 7806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7802 and 7806, than apply into the LCM equation.

GCF(7802,7806) = 2
LCM(7802,7806) = ( 7802 × 7806) / 2
LCM(7802,7806) = 60902412 / 2
LCM(7802,7806) = 30451206

Properties of LCM 7802 and 7806

(i) The LCM of 7806 and 7802 is associative

LCM of 7802 and 7806 = LCM of 7806 and 7802

Related Least Common Multiples of 7802

Related Least Common Multiples of 7806

Frequently Asked Questions on LCM of 7802 and 7806

1. What is the LCM of 7802 and 7806?

Answer: LCM of 7802 and 7806 is 30451206.

2. What are the Factors of 7802?

Answer: Factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802. There are 8 integers that are factors of 7802. The greatest factor of 7802 is 7802.

3. What are the Factors of 7806?

Answer: Factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806. There are 8 integers that are factors of 7806. The greatest factor of 7806 is 7806.

4. How to Find the LCM of 7802 and 7806?

Answer:

Least Common Multiple of 7802 and 7806 = 30451206

Step 1: Find the prime factorization of 7802

7802 = 2 x 47 x 83

Step 2: Find the prime factorization of 7806

7806 = 2 x 3 x 1301

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

LCM = 30451206 = 2 x 3 x 47 x 83 x 1301

Step 4: Therefore, the least common multiple of 7802 and 7806 is 30451206.