Least Common Multiple of 7794 and 7801

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 7801 the smallest integer that is 60800994 that is divisible by both numbers.

Least Common Multiple (LCM) of 7794 and 7801 is 60800994.

LCM(7794,7801) = 60800994

LCM of 7794 and 7801

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

LCM of:
and

Least Common Multiple of 7794 and 7801

LCM of 7794 and 7801 is 60800994

Least common multiple can be found by multiplying the highest exponent prime factors of 7794 and 7801. First we will calculate the prime factors of 7794 and 7801.

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 7801


29 7801
269 269
1

Prime factors of 7801 are 29,269. Prime factorization of 7801 in exponential form is:

7801 = 291×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 7794 and 7801.

LCM(7794,7801) = 21×32×291×2691×4331
LCM(7794,7801) = 60800994

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 7801

List of positive integer factors of 7801 that divides 7801 without a remainder.

1, 29, 269, 7801

Least Common Multiple of 7794 and 7801 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 7801, than apply into the LCM equation.

GCF(7794,7801) = 1
LCM(7794,7801) = ( 7794 × 7801) / 1
LCM(7794,7801) = 60800994 / 1
LCM(7794,7801) = 60800994

Properties of LCM 7794 and 7801

(i) The LCM of 7801 and 7794 is associative

LCM of 7794 and 7801 = LCM of 7801 and 7794

Related Least Common Multiples of 7794

Related Least Common Multiples of 7801

Frequently Asked Questions on LCM of 7794 and 7801

1. What is the LCM of 7794 and 7801?

Answer: LCM of 7794 and 7801 is 60800994.

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 7801?

Answer: Factors of 7801 are 1, 29, 269, 7801. There are 4 integers that are factors of 7801. The greatest factor of 7801 is 7801.

4. How to Find the LCM of 7794 and 7801?

Answer:

Least Common Multiple of 7794 and 7801 = 60800994

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

Step 2: Find the prime factorization of 7801

7801 = 29 x 269

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

LCM = 60800994 = 2 x 3 x 3 x 29 x 269 x 433

Step 4: Therefore, the least common multiple of 7794 and 7801 is 60800994.