Least Common Multiple of 788 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 788 and 792 the smallest integer that is 156024 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 792 is 156024.

LCM(788,792) = 156024

LCM of 788 and 792

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

LCM of:
and

Least Common Multiple of 788 and 792

LCM of 788 and 792 is 156024

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 792. First we will calculate the prime factors of 788 and 792.

Prime Factorization of 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

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 788 and 792.

LCM(788,792) = 23×32×111×1971
LCM(788,792) = 156024

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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 788 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 788 and 792, than apply into the LCM equation.

GCF(788,792) = 4
LCM(788,792) = ( 788 × 792) / 4
LCM(788,792) = 624096 / 4
LCM(788,792) = 156024

Properties of LCM 788 and 792

(i) The LCM of 792 and 788 is associative

LCM of 788 and 792 = LCM of 792 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 788 and 792

1. What is the LCM of 788 and 792?

Answer: LCM of 788 and 792 is 156024.

2. What are the Factors of 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

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 788 and 792?

Answer:

Least Common Multiple of 788 and 792 = 156024

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

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 = 156024 = 2 x 2 x 2 x 3 x 3 x 11 x 197

Step 4: Therefore, the least common multiple of 788 and 792 is 156024.