Least Common Multiple of 7757 and 7762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7757 and 7762 the smallest integer that is 60209834 that is divisible by both numbers.

Least Common Multiple (LCM) of 7757 and 7762 is 60209834.

LCM(7757,7762) = 60209834

LCM of 7757 and 7762

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

LCM of:
and

Least Common Multiple of 7757 and 7762

LCM of 7757 and 7762 is 60209834

Least common multiple can be found by multiplying the highest exponent prime factors of 7757 and 7762. First we will calculate the prime factors of 7757 and 7762.

Prime Factorization of 7757


7757 7757
1

Prime factors of 7757 are 7757. Prime factorization of 7757 in exponential form is:

7757 = 77571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7757 and 7762.

LCM(7757,7762) = 21×38811×77571
LCM(7757,7762) = 60209834

Factors of 7757

List of positive integer factors of 7757 that divides 7757 without a remainder.

1, 7757

Factors of 7762

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

1, 2, 3881, 7762

Least Common Multiple of 7757 and 7762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7757 and 7762, than apply into the LCM equation.

GCF(7757,7762) = 1
LCM(7757,7762) = ( 7757 × 7762) / 1
LCM(7757,7762) = 60209834 / 1
LCM(7757,7762) = 60209834

Properties of LCM 7757 and 7762

(i) The LCM of 7762 and 7757 is associative

LCM of 7757 and 7762 = LCM of 7762 and 7757

Related Least Common Multiples of 7757

Related Least Common Multiples of 7762

Frequently Asked Questions on LCM of 7757 and 7762

1. What is the LCM of 7757 and 7762?

Answer: LCM of 7757 and 7762 is 60209834.

2. What are the Factors of 7757?

Answer: Factors of 7757 are 1, 7757. There are 2 integers that are factors of 7757. The greatest factor of 7757 is 7757.

3. 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.

4. How to Find the LCM of 7757 and 7762?

Answer:

Least Common Multiple of 7757 and 7762 = 60209834

Step 1: Find the prime factorization of 7757

7757 = 7757

Step 2: Find the prime factorization of 7762

7762 = 2 x 3881

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

LCM = 60209834 = 2 x 3881 x 7757

Step 4: Therefore, the least common multiple of 7757 and 7762 is 60209834.