Least Common Multiple of 780 and 785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 780 and 785 the smallest integer that is 122460 that is divisible by both numbers.

Least Common Multiple (LCM) of 780 and 785 is 122460.

LCM(780,785) = 122460

LCM of 780 and 785

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

LCM of:
and

Least Common Multiple of 780 and 785

LCM of 780 and 785 is 122460

Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 785. First we will calculate the prime factors of 780 and 785.

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 785.

LCM(780,785) = 22×31×51×131×1571
LCM(780,785) = 122460

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Factors of 785

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

1, 5, 157, 785

Least Common Multiple of 780 and 785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 780 and 785, than apply into the LCM equation.

GCF(780,785) = 5
LCM(780,785) = ( 780 × 785) / 5
LCM(780,785) = 612300 / 5
LCM(780,785) = 122460

Properties of LCM 780 and 785

(i) The LCM of 785 and 780 is associative

LCM of 780 and 785 = LCM of 785 and 780

Related Least Common Multiples of 780

Related Least Common Multiples of 785

Frequently Asked Questions on LCM of 780 and 785

1. What is the LCM of 780 and 785?

Answer: LCM of 780 and 785 is 122460.

2. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

3. 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.

4. How to Find the LCM of 780 and 785?

Answer:

Least Common Multiple of 780 and 785 = 122460

Step 1: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 785

785 = 5 x 157

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

LCM = 122460 = 2 x 2 x 3 x 5 x 13 x 157

Step 4: Therefore, the least common multiple of 780 and 785 is 122460.