Least Common Multiple of 7782 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 7782 and 7787 the smallest integer that is 60598434 that is divisible by both numbers.

Least Common Multiple (LCM) of 7782 and 7787 is 60598434.

LCM(7782,7787) = 60598434

LCM of 7782 and 7787

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

LCM of:
and

Least Common Multiple of 7782 and 7787

LCM of 7782 and 7787 is 60598434

Least common multiple can be found by multiplying the highest exponent prime factors of 7782 and 7787. First we will calculate the prime factors of 7782 and 7787.

Prime Factorization of 7782


2 7782
3 3891
1297 1297
1

Prime factors of 7782 are 2, 3,1297. Prime factorization of 7782 in exponential form is:

7782 = 21×31×12971

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 7782 and 7787.

LCM(7782,7787) = 21×31×131×5991×12971
LCM(7782,7787) = 60598434

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1, 2, 3, 6, 1297, 2594, 3891, 7782

Factors of 7787

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

1, 13, 599, 7787

Least Common Multiple of 7782 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 7782 and 7787, than apply into the LCM equation.

GCF(7782,7787) = 1
LCM(7782,7787) = ( 7782 × 7787) / 1
LCM(7782,7787) = 60598434 / 1
LCM(7782,7787) = 60598434

Properties of LCM 7782 and 7787

(i) The LCM of 7787 and 7782 is associative

LCM of 7782 and 7787 = LCM of 7787 and 7782

Related Least Common Multiples of 7782

Related Least Common Multiples of 7787

Frequently Asked Questions on LCM of 7782 and 7787

1. What is the LCM of 7782 and 7787?

Answer: LCM of 7782 and 7787 is 60598434.

2. What are the Factors of 7782?

Answer: Factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782. There are 8 integers that are factors of 7782. The greatest factor of 7782 is 7782.

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 7782 and 7787?

Answer:

Least Common Multiple of 7782 and 7787 = 60598434

Step 1: Find the prime factorization of 7782

7782 = 2 x 3 x 1297

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 = 60598434 = 2 x 3 x 13 x 599 x 1297

Step 4: Therefore, the least common multiple of 7782 and 7787 is 60598434.