Least Common Multiple of 7670 and 7677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7670 and 7677 the smallest integer that is 58882590 that is divisible by both numbers.

Least Common Multiple (LCM) of 7670 and 7677 is 58882590.

LCM(7670,7677) = 58882590

LCM of 7670 and 7677

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

LCM of:
and

Least Common Multiple of 7670 and 7677

LCM of 7670 and 7677 is 58882590

Least common multiple can be found by multiplying the highest exponent prime factors of 7670 and 7677. First we will calculate the prime factors of 7670 and 7677.

Prime Factorization of 7670


2 7670
5 3835
13 767
59 59
1

Prime factors of 7670 are 2, 5, 13,59. Prime factorization of 7670 in exponential form is:

7670 = 21×51×131×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7670 and 7677.

LCM(7670,7677) = 21×32×51×131×591×8531
LCM(7670,7677) = 58882590

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670

Factors of 7677

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

1, 3, 9, 853, 2559, 7677

Least Common Multiple of 7670 and 7677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7670 and 7677, than apply into the LCM equation.

GCF(7670,7677) = 1
LCM(7670,7677) = ( 7670 × 7677) / 1
LCM(7670,7677) = 58882590 / 1
LCM(7670,7677) = 58882590

Properties of LCM 7670 and 7677

(i) The LCM of 7677 and 7670 is associative

LCM of 7670 and 7677 = LCM of 7677 and 7670

Related Least Common Multiples of 7670

Related Least Common Multiples of 7677

Frequently Asked Questions on LCM of 7670 and 7677

1. What is the LCM of 7670 and 7677?

Answer: LCM of 7670 and 7677 is 58882590.

2. What are the Factors of 7670?

Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.

3. 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.

4. How to Find the LCM of 7670 and 7677?

Answer:

Least Common Multiple of 7670 and 7677 = 58882590

Step 1: Find the prime factorization of 7670

7670 = 2 x 5 x 13 x 59

Step 2: Find the prime factorization of 7677

7677 = 3 x 3 x 853

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

LCM = 58882590 = 2 x 3 x 3 x 5 x 13 x 59 x 853

Step 4: Therefore, the least common multiple of 7670 and 7677 is 58882590.