Least Common Multiple of 7785 and 7787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7785 and 7787 the smallest integer that is 60621795 that is divisible by both numbers.

Least Common Multiple (LCM) of 7785 and 7787 is 60621795.

LCM(7785,7787) = 60621795

LCM of 7785 and 7787

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

LCM of:
and

Least Common Multiple of 7785 and 7787

LCM of 7785 and 7787 is 60621795

Least common multiple can be found by multiplying the highest exponent prime factors of 7785 and 7787. First we will calculate the prime factors of 7785 and 7787.

Prime Factorization of 7785


3 7785
3 2595
5 865
173 173
1

Prime factors of 7785 are 3, 5,173. Prime factorization of 7785 in exponential form is:

7785 = 32×51×1731

Prime Factorization of 7787


13 7787
599 599
1

Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:

7787 = 131×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 7785 and 7787.

LCM(7785,7787) = 32×51×131×1731×5991
LCM(7785,7787) = 60621795

Factors of 7785

List of positive integer factors of 7785 that divides 7785 without a remainder.

1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785

Factors of 7787

List of positive integer factors of 7787 that divides 7787 without a remainder.

1, 13, 599, 7787

Least Common Multiple of 7785 and 7787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7785 and 7787, than apply into the LCM equation.

GCF(7785,7787) = 1
LCM(7785,7787) = ( 7785 × 7787) / 1
LCM(7785,7787) = 60621795 / 1
LCM(7785,7787) = 60621795

Properties of LCM 7785 and 7787

(i) The LCM of 7787 and 7785 is associative

LCM of 7785 and 7787 = LCM of 7787 and 7785

Related Least Common Multiples of 7785

Related Least Common Multiples of 7787

Frequently Asked Questions on LCM of 7785 and 7787

1. What is the LCM of 7785 and 7787?

Answer: LCM of 7785 and 7787 is 60621795.

2. What are the Factors of 7785?

Answer: Factors of 7785 are 1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785. There are 12 integers that are factors of 7785. The greatest factor of 7785 is 7785.

3. What are the Factors of 7787?

Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.

4. How to Find the LCM of 7785 and 7787?

Answer:

Least Common Multiple of 7785 and 7787 = 60621795

Step 1: Find the prime factorization of 7785

7785 = 3 x 3 x 5 x 173

Step 2: Find the prime factorization of 7787

7787 = 13 x 599

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

LCM = 60621795 = 3 x 3 x 5 x 13 x 173 x 599

Step 4: Therefore, the least common multiple of 7785 and 7787 is 60621795.