Least Common Multiple of 7779 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 7779 and 7787 the smallest integer that is 60575073 that is divisible by both numbers.

Least Common Multiple (LCM) of 7779 and 7787 is 60575073.

LCM(7779,7787) = 60575073

LCM of 7779 and 7787

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

LCM of:
and

Least Common Multiple of 7779 and 7787

LCM of 7779 and 7787 is 60575073

Least common multiple can be found by multiplying the highest exponent prime factors of 7779 and 7787. First we will calculate the prime factors of 7779 and 7787.

Prime Factorization of 7779


3 7779
2593 2593
1

Prime factors of 7779 are 3,2593. Prime factorization of 7779 in exponential form is:

7779 = 31×25931

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 7779 and 7787.

LCM(7779,7787) = 31×131×5991×25931
LCM(7779,7787) = 60575073

Factors of 7779

List of positive integer factors of 7779 that divides 7779 without a remainder.

1, 3, 2593, 7779

Factors of 7787

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

1, 13, 599, 7787

Least Common Multiple of 7779 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 7779 and 7787, than apply into the LCM equation.

GCF(7779,7787) = 1
LCM(7779,7787) = ( 7779 × 7787) / 1
LCM(7779,7787) = 60575073 / 1
LCM(7779,7787) = 60575073

Properties of LCM 7779 and 7787

(i) The LCM of 7787 and 7779 is associative

LCM of 7779 and 7787 = LCM of 7787 and 7779

Related Least Common Multiples of 7779

Related Least Common Multiples of 7787

Frequently Asked Questions on LCM of 7779 and 7787

1. What is the LCM of 7779 and 7787?

Answer: LCM of 7779 and 7787 is 60575073.

2. What are the Factors of 7779?

Answer: Factors of 7779 are 1, 3, 2593, 7779. There are 4 integers that are factors of 7779. The greatest factor of 7779 is 7779.

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 7779 and 7787?

Answer:

Least Common Multiple of 7779 and 7787 = 60575073

Step 1: Find the prime factorization of 7779

7779 = 3 x 2593

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 = 60575073 = 3 x 13 x 599 x 2593

Step 4: Therefore, the least common multiple of 7779 and 7787 is 60575073.