Least Common Multiple of 7816 and 7823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7816 and 7823 the smallest integer that is 61144568 that is divisible by both numbers.

Least Common Multiple (LCM) of 7816 and 7823 is 61144568.

LCM(7816,7823) = 61144568

LCM of 7816 and 7823

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

LCM of:
and

Least Common Multiple of 7816 and 7823

LCM of 7816 and 7823 is 61144568

Least common multiple can be found by multiplying the highest exponent prime factors of 7816 and 7823. First we will calculate the prime factors of 7816 and 7823.

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

Prime Factorization of 7823


7823 7823
1

Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:

7823 = 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 7816 and 7823.

LCM(7816,7823) = 23×9771×78231
LCM(7816,7823) = 61144568

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1, 2, 4, 8, 977, 1954, 3908, 7816

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1, 7823

Least Common Multiple of 7816 and 7823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7816 and 7823, than apply into the LCM equation.

GCF(7816,7823) = 1
LCM(7816,7823) = ( 7816 × 7823) / 1
LCM(7816,7823) = 61144568 / 1
LCM(7816,7823) = 61144568

Properties of LCM 7816 and 7823

(i) The LCM of 7823 and 7816 is associative

LCM of 7816 and 7823 = LCM of 7823 and 7816

Related Least Common Multiples of 7816

Related Least Common Multiples of 7823

Frequently Asked Questions on LCM of 7816 and 7823

1. What is the LCM of 7816 and 7823?

Answer: LCM of 7816 and 7823 is 61144568.

2. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

3. What are the Factors of 7823?

Answer: Factors of 7823 are 1, 7823. There are 2 integers that are factors of 7823. The greatest factor of 7823 is 7823.

4. How to Find the LCM of 7816 and 7823?

Answer:

Least Common Multiple of 7816 and 7823 = 61144568

Step 1: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

Step 2: Find the prime factorization of 7823

7823 = 7823

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

LCM = 61144568 = 2 x 2 x 2 x 977 x 7823

Step 4: Therefore, the least common multiple of 7816 and 7823 is 61144568.