Least Common Multiple of 7666 and 7673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7666 and 7673 the smallest integer that is 58821218 that is divisible by both numbers.

Least Common Multiple (LCM) of 7666 and 7673 is 58821218.

LCM(7666,7673) = 58821218

LCM of 7666 and 7673

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

LCM of:
and

Least Common Multiple of 7666 and 7673

LCM of 7666 and 7673 is 58821218

Least common multiple can be found by multiplying the highest exponent prime factors of 7666 and 7673. First we will calculate the prime factors of 7666 and 7673.

Prime Factorization of 7666


2 7666
3833 3833
1

Prime factors of 7666 are 2,3833. Prime factorization of 7666 in exponential form is:

7666 = 21×38331

Prime Factorization of 7673


7673 7673
1

Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:

7673 = 76731

Now multiplying the highest exponent prime factors to calculate the LCM of 7666 and 7673.

LCM(7666,7673) = 21×38331×76731
LCM(7666,7673) = 58821218

Factors of 7666

List of positive integer factors of 7666 that divides 7666 without a remainder.

1, 2, 3833, 7666

Factors of 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1, 7673

Least Common Multiple of 7666 and 7673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7666 and 7673, than apply into the LCM equation.

GCF(7666,7673) = 1
LCM(7666,7673) = ( 7666 × 7673) / 1
LCM(7666,7673) = 58821218 / 1
LCM(7666,7673) = 58821218

Properties of LCM 7666 and 7673

(i) The LCM of 7673 and 7666 is associative

LCM of 7666 and 7673 = LCM of 7673 and 7666

Related Least Common Multiples of 7666

Related Least Common Multiples of 7673

Frequently Asked Questions on LCM of 7666 and 7673

1. What is the LCM of 7666 and 7673?

Answer: LCM of 7666 and 7673 is 58821218.

2. What are the Factors of 7666?

Answer: Factors of 7666 are 1, 2, 3833, 7666. There are 4 integers that are factors of 7666. The greatest factor of 7666 is 7666.

3. What are the Factors of 7673?

Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.

4. How to Find the LCM of 7666 and 7673?

Answer:

Least Common Multiple of 7666 and 7673 = 58821218

Step 1: Find the prime factorization of 7666

7666 = 2 x 3833

Step 2: Find the prime factorization of 7673

7673 = 7673

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

LCM = 58821218 = 2 x 3833 x 7673

Step 4: Therefore, the least common multiple of 7666 and 7673 is 58821218.