Least Common Multiple of 787 and 792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 787 and 792 the smallest integer that is 623304 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 792 is 623304.

LCM(787,792) = 623304

LCM of 787 and 792

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

LCM of:
and

Least Common Multiple of 787 and 792

LCM of 787 and 792 is 623304

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 792. First we will calculate the prime factors of 787 and 792.

Prime Factorization of 787


787 787
1

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

Prime Factorization of 792


2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 792 are 2, 3,11. Prime factorization of 792 in exponential form is:

792 = 23×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 792.

LCM(787,792) = 23×32×111×7871
LCM(787,792) = 623304

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1, 787

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Least Common Multiple of 787 and 792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 787 and 792, than apply into the LCM equation.

GCF(787,792) = 1
LCM(787,792) = ( 787 × 792) / 1
LCM(787,792) = 623304 / 1
LCM(787,792) = 623304

Properties of LCM 787 and 792

(i) The LCM of 792 and 787 is associative

LCM of 787 and 792 = LCM of 792 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 787 and 792

1. What is the LCM of 787 and 792?

Answer: LCM of 787 and 792 is 623304.

2. What are the Factors of 787?

Answer: Factors of 787 are 1, 787. There are 2 integers that are factors of 787. The greatest factor of 787 is 787.

3. What are the Factors of 792?

Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.

4. How to Find the LCM of 787 and 792?

Answer:

Least Common Multiple of 787 and 792 = 623304

Step 1: Find the prime factorization of 787

787 = 787

Step 2: Find the prime factorization of 792

792 = 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 623304 = 2 x 2 x 2 x 3 x 3 x 11 x 787

Step 4: Therefore, the least common multiple of 787 and 792 is 623304.