Least Common Multiple of 7677 and 7682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7677 and 7682 the smallest integer that is 58974714 that is divisible by both numbers.

Least Common Multiple (LCM) of 7677 and 7682 is 58974714.

LCM(7677,7682) = 58974714

LCM of 7677 and 7682

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

LCM of:
and

Least Common Multiple of 7677 and 7682

LCM of 7677 and 7682 is 58974714

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7682. First we will calculate the prime factors of 7677 and 7682.

Prime Factorization of 7677


3 7677
3 2559
853 853
1

Prime factors of 7677 are 3,853. Prime factorization of 7677 in exponential form is:

7677 = 32×8531

Prime Factorization of 7682


2 7682
23 3841
167 167
1

Prime factors of 7682 are 2, 23,167. Prime factorization of 7682 in exponential form is:

7682 = 21×231×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7682.

LCM(7677,7682) = 21×32×231×1671×8531
LCM(7677,7682) = 58974714

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1, 3, 9, 853, 2559, 7677

Factors of 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1, 2, 23, 46, 167, 334, 3841, 7682

Least Common Multiple of 7677 and 7682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7677 and 7682, than apply into the LCM equation.

GCF(7677,7682) = 1
LCM(7677,7682) = ( 7677 × 7682) / 1
LCM(7677,7682) = 58974714 / 1
LCM(7677,7682) = 58974714

Properties of LCM 7677 and 7682

(i) The LCM of 7682 and 7677 is associative

LCM of 7677 and 7682 = LCM of 7682 and 7677

Related Least Common Multiples of 7677

Related Least Common Multiples of 7682

Frequently Asked Questions on LCM of 7677 and 7682

1. What is the LCM of 7677 and 7682?

Answer: LCM of 7677 and 7682 is 58974714.

2. What are the Factors of 7677?

Answer: Factors of 7677 are 1, 3, 9, 853, 2559, 7677. There are 6 integers that are factors of 7677. The greatest factor of 7677 is 7677.

3. What are the Factors of 7682?

Answer: Factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682. There are 8 integers that are factors of 7682. The greatest factor of 7682 is 7682.

4. How to Find the LCM of 7677 and 7682?

Answer:

Least Common Multiple of 7677 and 7682 = 58974714

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7682

7682 = 2 x 23 x 167

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

LCM = 58974714 = 2 x 3 x 3 x 23 x 167 x 853

Step 4: Therefore, the least common multiple of 7677 and 7682 is 58974714.