Least Common Multiple of 7783 and 7788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7783 and 7788 the smallest integer that is 60614004 that is divisible by both numbers.

Least Common Multiple (LCM) of 7783 and 7788 is 60614004.

LCM(7783,7788) = 60614004

LCM of 7783 and 7788

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

LCM of:
and

Least Common Multiple of 7783 and 7788

LCM of 7783 and 7788 is 60614004

Least common multiple can be found by multiplying the highest exponent prime factors of 7783 and 7788. First we will calculate the prime factors of 7783 and 7788.

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

Prime Factorization of 7788


2 7788
2 3894
3 1947
11 649
59 59
1

Prime factors of 7788 are 2, 3, 11,59. Prime factorization of 7788 in exponential form is:

7788 = 22×31×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7783 and 7788.

LCM(7783,7788) = 22×31×111×431×591×1811
LCM(7783,7788) = 60614004

Factors of 7783

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

1, 43, 181, 7783

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788

Least Common Multiple of 7783 and 7788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7783 and 7788, than apply into the LCM equation.

GCF(7783,7788) = 1
LCM(7783,7788) = ( 7783 × 7788) / 1
LCM(7783,7788) = 60614004 / 1
LCM(7783,7788) = 60614004

Properties of LCM 7783 and 7788

(i) The LCM of 7788 and 7783 is associative

LCM of 7783 and 7788 = LCM of 7788 and 7783

Related Least Common Multiples of 7783

Related Least Common Multiples of 7788

Frequently Asked Questions on LCM of 7783 and 7788

1. What is the LCM of 7783 and 7788?

Answer: LCM of 7783 and 7788 is 60614004.

2. 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.

3. What are the Factors of 7788?

Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.

4. How to Find the LCM of 7783 and 7788?

Answer:

Least Common Multiple of 7783 and 7788 = 60614004

Step 1: Find the prime factorization of 7783

7783 = 43 x 181

Step 2: Find the prime factorization of 7788

7788 = 2 x 2 x 3 x 11 x 59

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

LCM = 60614004 = 2 x 2 x 3 x 11 x 43 x 59 x 181

Step 4: Therefore, the least common multiple of 7783 and 7788 is 60614004.