Least Common Multiple of 7666 and 7671

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 7671 the smallest integer that is 58805886 that is divisible by both numbers.

Least Common Multiple (LCM) of 7666 and 7671 is 58805886.

LCM(7666,7671) = 58805886

LCM of 7666 and 7671

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

LCM of:
and

Least Common Multiple of 7666 and 7671

LCM of 7666 and 7671 is 58805886

Least common multiple can be found by multiplying the highest exponent prime factors of 7666 and 7671. First we will calculate the prime factors of 7666 and 7671.

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 7671


3 7671
2557 2557
1

Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:

7671 = 31×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 7666 and 7671.

LCM(7666,7671) = 21×31×25571×38331
LCM(7666,7671) = 58805886

Factors of 7666

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

1, 2, 3833, 7666

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1, 3, 2557, 7671

Least Common Multiple of 7666 and 7671 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 7671, than apply into the LCM equation.

GCF(7666,7671) = 1
LCM(7666,7671) = ( 7666 × 7671) / 1
LCM(7666,7671) = 58805886 / 1
LCM(7666,7671) = 58805886

Properties of LCM 7666 and 7671

(i) The LCM of 7671 and 7666 is associative

LCM of 7666 and 7671 = LCM of 7671 and 7666

Related Least Common Multiples of 7666

Related Least Common Multiples of 7671

Frequently Asked Questions on LCM of 7666 and 7671

1. What is the LCM of 7666 and 7671?

Answer: LCM of 7666 and 7671 is 58805886.

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 7671?

Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.

4. How to Find the LCM of 7666 and 7671?

Answer:

Least Common Multiple of 7666 and 7671 = 58805886

Step 1: Find the prime factorization of 7666

7666 = 2 x 3833

Step 2: Find the prime factorization of 7671

7671 = 3 x 2557

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

LCM = 58805886 = 2 x 3 x 2557 x 3833

Step 4: Therefore, the least common multiple of 7666 and 7671 is 58805886.