Least Common Multiple of 7794 and 7802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7794 and 7802 the smallest integer that is 30404394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7794 and 7802 is 30404394.

LCM(7794,7802) = 30404394

LCM of 7794 and 7802

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

LCM of:
and

Least Common Multiple of 7794 and 7802

LCM of 7794 and 7802 is 30404394

Least common multiple can be found by multiplying the highest exponent prime factors of 7794 and 7802. First we will calculate the prime factors of 7794 and 7802.

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2, 3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7794 and 7802.

LCM(7794,7802) = 21×32×471×831×4331
LCM(7794,7802) = 30404394

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794

Factors of 7802

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

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

Least Common Multiple of 7794 and 7802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7794 and 7802, than apply into the LCM equation.

GCF(7794,7802) = 2
LCM(7794,7802) = ( 7794 × 7802) / 2
LCM(7794,7802) = 60808788 / 2
LCM(7794,7802) = 30404394

Properties of LCM 7794 and 7802

(i) The LCM of 7802 and 7794 is associative

LCM of 7794 and 7802 = LCM of 7802 and 7794

Related Least Common Multiples of 7794

Related Least Common Multiples of 7802

Frequently Asked Questions on LCM of 7794 and 7802

1. What is the LCM of 7794 and 7802?

Answer: LCM of 7794 and 7802 is 30404394.

2. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

3. 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.

4. How to Find the LCM of 7794 and 7802?

Answer:

Least Common Multiple of 7794 and 7802 = 30404394

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

Step 2: Find the prime factorization of 7802

7802 = 2 x 47 x 83

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

LCM = 30404394 = 2 x 3 x 3 x 47 x 83 x 433

Step 4: Therefore, the least common multiple of 7794 and 7802 is 30404394.