Least Common Multiple of 7677 and 7684

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 7684 the smallest integer that is 58990068 that is divisible by both numbers.

Least Common Multiple (LCM) of 7677 and 7684 is 58990068.

LCM(7677,7684) = 58990068

LCM of 7677 and 7684

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

LCM of:
and

Least Common Multiple of 7677 and 7684

LCM of 7677 and 7684 is 58990068

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7684. First we will calculate the prime factors of 7677 and 7684.

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 7684


2 7684
2 3842
17 1921
113 113
1

Prime factors of 7684 are 2, 17,113. Prime factorization of 7684 in exponential form is:

7684 = 22×171×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7684.

LCM(7677,7684) = 22×32×171×1131×8531
LCM(7677,7684) = 58990068

Factors of 7677

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

1, 3, 9, 853, 2559, 7677

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

Least Common Multiple of 7677 and 7684 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 7684, than apply into the LCM equation.

GCF(7677,7684) = 1
LCM(7677,7684) = ( 7677 × 7684) / 1
LCM(7677,7684) = 58990068 / 1
LCM(7677,7684) = 58990068

Properties of LCM 7677 and 7684

(i) The LCM of 7684 and 7677 is associative

LCM of 7677 and 7684 = LCM of 7684 and 7677

Related Least Common Multiples of 7677

Related Least Common Multiples of 7684

Frequently Asked Questions on LCM of 7677 and 7684

1. What is the LCM of 7677 and 7684?

Answer: LCM of 7677 and 7684 is 58990068.

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 7684?

Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.

4. How to Find the LCM of 7677 and 7684?

Answer:

Least Common Multiple of 7677 and 7684 = 58990068

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

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

LCM = 58990068 = 2 x 2 x 3 x 3 x 17 x 113 x 853

Step 4: Therefore, the least common multiple of 7677 and 7684 is 58990068.