Least Common Multiple of 785 and 787

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 787 the smallest integer that is 617795 that is divisible by both numbers.

Least Common Multiple (LCM) of 785 and 787 is 617795.

LCM(785,787) = 617795

LCM of 785 and 787

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

LCM of:
and

Least Common Multiple of 785 and 787

LCM of 785 and 787 is 617795

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 787. First we will calculate the prime factors of 785 and 787.

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 787


787 787
1

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

787 = 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 785 and 787.

LCM(785,787) = 51×1571×7871
LCM(785,787) = 617795

Factors of 785

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

1, 5, 157, 785

Factors of 787

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

1, 787

Least Common Multiple of 785 and 787 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 787, than apply into the LCM equation.

GCF(785,787) = 1
LCM(785,787) = ( 785 × 787) / 1
LCM(785,787) = 617795 / 1
LCM(785,787) = 617795

Properties of LCM 785 and 787

(i) The LCM of 787 and 785 is associative

LCM of 785 and 787 = LCM of 787 and 785

Related Least Common Multiples of 785

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 785 and 787

1. What is the LCM of 785 and 787?

Answer: LCM of 785 and 787 is 617795.

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 787?

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

4. How to Find the LCM of 785 and 787?

Answer:

Least Common Multiple of 785 and 787 = 617795

Step 1: Find the prime factorization of 785

785 = 5 x 157

Step 2: Find the prime factorization of 787

787 = 787

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

LCM = 617795 = 5 x 157 x 787

Step 4: Therefore, the least common multiple of 785 and 787 is 617795.