Least Common Multiple of 7 and 23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 7 and 23 the smallest integer that is 161 that is divisible by both numbers.

Least Common Multiple (LCM) of 7 and 23 is 161.

LCM(7,23) = 161

LCM of 7 and 23

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

LCM of:
and

Least Common Multiple of 7 and 23

LCM of 7 and 23 is 161

Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 23. First we will calculate the prime factors of 7 and 23.

Prime Factorization of 7


7 7
1

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 71

Prime Factorization of 23


23 23
1

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 23.

LCM(7,23) = 71×231
LCM(7,23) = 161

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1, 7

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1, 23

Least Common Multiple of 7 and 23 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 23, than apply into the LCM equation.

GCF(7,23) = 1
LCM(7,23) = ( 7 × 23) / 1
LCM(7,23) = 161 / 1
LCM(7,23) = 161

Properties of LCM 7 and 23

(i) The LCM of 23 and 7 is associative

LCM of 7 and 23 = LCM of 23 and 7

Frequently Asked Questions on LCM of 7 and 23

1. What is the LCM of 7 and 23?

Answer: LCM of 7 and 23 is 161.

2. What are the Factors of 7?

Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7.

3. What are the Factors of 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

4. How to Find the LCM of 7 and 23?

Answer:

Least Common Multiple of 7 and 23 = 161

Step 1: Find the prime factorization of 7

7 = 7

Step 2: Find the prime factorization of 23

23 = 23

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

LCM = 161 = 7 x 23

Step 4: Therefore, the least common multiple of 7 and 23 is 161.