Least Common Multiple of 7779 and 7783

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 7783 the smallest integer that is 60543957 that is divisible by both numbers.

Least Common Multiple (LCM) of 7779 and 7783 is 60543957.

LCM(7779,7783) = 60543957

LCM of 7779 and 7783

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

LCM of:
and

Least Common Multiple of 7779 and 7783

LCM of 7779 and 7783 is 60543957

Least common multiple can be found by multiplying the highest exponent prime factors of 7779 and 7783. First we will calculate the prime factors of 7779 and 7783.

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 7783


43 7783
181 181
1

Prime factors of 7783 are 43,181. Prime factorization of 7783 in exponential form is:

7783 = 431×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7779 and 7783.

LCM(7779,7783) = 31×431×1811×25931
LCM(7779,7783) = 60543957

Factors of 7779

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

1, 3, 2593, 7779

Factors of 7783

List of positive integer factors of 7783 that divides 7783 without a remainder.

1, 43, 181, 7783

Least Common Multiple of 7779 and 7783 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 7783, than apply into the LCM equation.

GCF(7779,7783) = 1
LCM(7779,7783) = ( 7779 × 7783) / 1
LCM(7779,7783) = 60543957 / 1
LCM(7779,7783) = 60543957

Properties of LCM 7779 and 7783

(i) The LCM of 7783 and 7779 is associative

LCM of 7779 and 7783 = LCM of 7783 and 7779

Related Least Common Multiples of 7779

Related Least Common Multiples of 7783

Frequently Asked Questions on LCM of 7779 and 7783

1. What is the LCM of 7779 and 7783?

Answer: LCM of 7779 and 7783 is 60543957.

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 7783?

Answer: Factors of 7783 are 1, 43, 181, 7783. There are 4 integers that are factors of 7783. The greatest factor of 7783 is 7783.

4. How to Find the LCM of 7779 and 7783?

Answer:

Least Common Multiple of 7779 and 7783 = 60543957

Step 1: Find the prime factorization of 7779

7779 = 3 x 2593

Step 2: Find the prime factorization of 7783

7783 = 43 x 181

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

LCM = 60543957 = 3 x 43 x 181 x 2593

Step 4: Therefore, the least common multiple of 7779 and 7783 is 60543957.