Least Common Multiple of 7766 and 7767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7766 and 7767 the smallest integer that is 60318522 that is divisible by both numbers.

Least Common Multiple (LCM) of 7766 and 7767 is 60318522.

LCM(7766,7767) = 60318522

LCM of 7766 and 7767

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

LCM of:
and

Least Common Multiple of 7766 and 7767

LCM of 7766 and 7767 is 60318522

Least common multiple can be found by multiplying the highest exponent prime factors of 7766 and 7767. First we will calculate the prime factors of 7766 and 7767.

Prime Factorization of 7766


2 7766
11 3883
353 353
1

Prime factors of 7766 are 2, 11,353. Prime factorization of 7766 in exponential form is:

7766 = 21×111×3531

Prime Factorization of 7767


3 7767
3 2589
863 863
1

Prime factors of 7767 are 3,863. Prime factorization of 7767 in exponential form is:

7767 = 32×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 7766 and 7767.

LCM(7766,7767) = 21×32×111×3531×8631
LCM(7766,7767) = 60318522

Factors of 7766

List of positive integer factors of 7766 that divides 7766 without a remainder.

1, 2, 11, 22, 353, 706, 3883, 7766

Factors of 7767

List of positive integer factors of 7767 that divides 7767 without a remainder.

1, 3, 9, 863, 2589, 7767

Least Common Multiple of 7766 and 7767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7766 and 7767, than apply into the LCM equation.

GCF(7766,7767) = 1
LCM(7766,7767) = ( 7766 × 7767) / 1
LCM(7766,7767) = 60318522 / 1
LCM(7766,7767) = 60318522

Properties of LCM 7766 and 7767

(i) The LCM of 7767 and 7766 is associative

LCM of 7766 and 7767 = LCM of 7767 and 7766

Related Least Common Multiples of 7766

Related Least Common Multiples of 7767

Frequently Asked Questions on LCM of 7766 and 7767

1. What is the LCM of 7766 and 7767?

Answer: LCM of 7766 and 7767 is 60318522.

2. What are the Factors of 7766?

Answer: Factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766. There are 8 integers that are factors of 7766. The greatest factor of 7766 is 7766.

3. What are the Factors of 7767?

Answer: Factors of 7767 are 1, 3, 9, 863, 2589, 7767. There are 6 integers that are factors of 7767. The greatest factor of 7767 is 7767.

4. How to Find the LCM of 7766 and 7767?

Answer:

Least Common Multiple of 7766 and 7767 = 60318522

Step 1: Find the prime factorization of 7766

7766 = 2 x 11 x 353

Step 2: Find the prime factorization of 7767

7767 = 3 x 3 x 863

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

LCM = 60318522 = 2 x 3 x 3 x 11 x 353 x 863

Step 4: Therefore, the least common multiple of 7766 and 7767 is 60318522.