Least Common Multiple of 7690 and 7697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7690 and 7697 the smallest integer that is 59189930 that is divisible by both numbers.

Least Common Multiple (LCM) of 7690 and 7697 is 59189930.

LCM(7690,7697) = 59189930

LCM of 7690 and 7697

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

LCM of:
and

Least Common Multiple of 7690 and 7697

LCM of 7690 and 7697 is 59189930

Least common multiple can be found by multiplying the highest exponent prime factors of 7690 and 7697. First we will calculate the prime factors of 7690 and 7697.

Prime Factorization of 7690


2 7690
5 3845
769 769
1

Prime factors of 7690 are 2, 5,769. Prime factorization of 7690 in exponential form is:

7690 = 21×51×7691

Prime Factorization of 7697


43 7697
179 179
1

Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:

7697 = 431×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7690 and 7697.

LCM(7690,7697) = 21×51×431×1791×7691
LCM(7690,7697) = 59189930

Factors of 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1, 2, 5, 10, 769, 1538, 3845, 7690

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1, 43, 179, 7697

Least Common Multiple of 7690 and 7697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7690 and 7697, than apply into the LCM equation.

GCF(7690,7697) = 1
LCM(7690,7697) = ( 7690 × 7697) / 1
LCM(7690,7697) = 59189930 / 1
LCM(7690,7697) = 59189930

Properties of LCM 7690 and 7697

(i) The LCM of 7697 and 7690 is associative

LCM of 7690 and 7697 = LCM of 7697 and 7690

Related Least Common Multiples of 7690

Related Least Common Multiples of 7697

Frequently Asked Questions on LCM of 7690 and 7697

1. What is the LCM of 7690 and 7697?

Answer: LCM of 7690 and 7697 is 59189930.

2. What are the Factors of 7690?

Answer: Factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690. There are 8 integers that are factors of 7690. The greatest factor of 7690 is 7690.

3. What are the Factors of 7697?

Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.

4. How to Find the LCM of 7690 and 7697?

Answer:

Least Common Multiple of 7690 and 7697 = 59189930

Step 1: Find the prime factorization of 7690

7690 = 2 x 5 x 769

Step 2: Find the prime factorization of 7697

7697 = 43 x 179

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

LCM = 59189930 = 2 x 5 x 43 x 179 x 769

Step 4: Therefore, the least common multiple of 7690 and 7697 is 59189930.