Least Common Multiple of 785 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 785 and 792 the smallest integer that is 621720 that is divisible by both numbers.

Least Common Multiple (LCM) of 785 and 792 is 621720.

LCM(785,792) = 621720

LCM of 785 and 792

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

LCM of:
and

Least Common Multiple of 785 and 792

LCM of 785 and 792 is 621720

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 792. First we will calculate the prime factors of 785 and 792.

Prime Factorization of 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

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 785 and 792.

LCM(785,792) = 23×32×51×111×1571
LCM(785,792) = 621720

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 785 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 785 and 792, than apply into the LCM equation.

GCF(785,792) = 1
LCM(785,792) = ( 785 × 792) / 1
LCM(785,792) = 621720 / 1
LCM(785,792) = 621720

Properties of LCM 785 and 792

(i) The LCM of 792 and 785 is associative

LCM of 785 and 792 = LCM of 792 and 785

Related Least Common Multiples of 785

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 785 and 792

1. What is the LCM of 785 and 792?

Answer: LCM of 785 and 792 is 621720.

2. What are the Factors of 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

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 785 and 792?

Answer:

Least Common Multiple of 785 and 792 = 621720

Step 1: Find the prime factorization of 785

785 = 5 x 157

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 = 621720 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 157

Step 4: Therefore, the least common multiple of 785 and 792 is 621720.