Least Common Multiple of 7762 and 7766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7762 and 7766 the smallest integer that is 30139846 that is divisible by both numbers.

Least Common Multiple (LCM) of 7762 and 7766 is 30139846.

LCM(7762,7766) = 30139846

LCM of 7762 and 7766

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

LCM of:
and

Least Common Multiple of 7762 and 7766

LCM of 7762 and 7766 is 30139846

Least common multiple can be found by multiplying the highest exponent prime factors of 7762 and 7766. First we will calculate the prime factors of 7762 and 7766.

Prime Factorization of 7762


2 7762
3881 3881
1

Prime factors of 7762 are 2,3881. Prime factorization of 7762 in exponential form is:

7762 = 21×38811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7762 and 7766.

LCM(7762,7766) = 21×111×3531×38811
LCM(7762,7766) = 30139846

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1, 2, 3881, 7762

Factors of 7766

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

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

Least Common Multiple of 7762 and 7766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7762 and 7766, than apply into the LCM equation.

GCF(7762,7766) = 2
LCM(7762,7766) = ( 7762 × 7766) / 2
LCM(7762,7766) = 60279692 / 2
LCM(7762,7766) = 30139846

Properties of LCM 7762 and 7766

(i) The LCM of 7766 and 7762 is associative

LCM of 7762 and 7766 = LCM of 7766 and 7762

Related Least Common Multiples of 7762

Related Least Common Multiples of 7766

Frequently Asked Questions on LCM of 7762 and 7766

1. What is the LCM of 7762 and 7766?

Answer: LCM of 7762 and 7766 is 30139846.

2. What are the Factors of 7762?

Answer: Factors of 7762 are 1, 2, 3881, 7762. There are 4 integers that are factors of 7762. The greatest factor of 7762 is 7762.

3. 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.

4. How to Find the LCM of 7762 and 7766?

Answer:

Least Common Multiple of 7762 and 7766 = 30139846

Step 1: Find the prime factorization of 7762

7762 = 2 x 3881

Step 2: Find the prime factorization of 7766

7766 = 2 x 11 x 353

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

LCM = 30139846 = 2 x 11 x 353 x 3881

Step 4: Therefore, the least common multiple of 7762 and 7766 is 30139846.