Least Common Multiple of 7663 and 7666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7663 and 7666 the smallest integer that is 58744558 that is divisible by both numbers.

Least Common Multiple (LCM) of 7663 and 7666 is 58744558.

LCM(7663,7666) = 58744558

LCM of 7663 and 7666

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

LCM of:
and

Least Common Multiple of 7663 and 7666

LCM of 7663 and 7666 is 58744558

Least common multiple can be found by multiplying the highest exponent prime factors of 7663 and 7666. First we will calculate the prime factors of 7663 and 7666.

Prime Factorization of 7663


79 7663
97 97
1

Prime factors of 7663 are 79,97. Prime factorization of 7663 in exponential form is:

7663 = 791×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7663 and 7666.

LCM(7663,7666) = 21×791×971×38331
LCM(7663,7666) = 58744558

Factors of 7663

List of positive integer factors of 7663 that divides 7663 without a remainder.

1, 79, 97, 7663

Factors of 7666

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

1, 2, 3833, 7666

Least Common Multiple of 7663 and 7666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7663 and 7666, than apply into the LCM equation.

GCF(7663,7666) = 1
LCM(7663,7666) = ( 7663 × 7666) / 1
LCM(7663,7666) = 58744558 / 1
LCM(7663,7666) = 58744558

Properties of LCM 7663 and 7666

(i) The LCM of 7666 and 7663 is associative

LCM of 7663 and 7666 = LCM of 7666 and 7663

Related Least Common Multiples of 7663

Related Least Common Multiples of 7666

Frequently Asked Questions on LCM of 7663 and 7666

1. What is the LCM of 7663 and 7666?

Answer: LCM of 7663 and 7666 is 58744558.

2. What are the Factors of 7663?

Answer: Factors of 7663 are 1, 79, 97, 7663. There are 4 integers that are factors of 7663. The greatest factor of 7663 is 7663.

3. 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.

4. How to Find the LCM of 7663 and 7666?

Answer:

Least Common Multiple of 7663 and 7666 = 58744558

Step 1: Find the prime factorization of 7663

7663 = 79 x 97

Step 2: Find the prime factorization of 7666

7666 = 2 x 3833

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

LCM = 58744558 = 2 x 79 x 97 x 3833

Step 4: Therefore, the least common multiple of 7663 and 7666 is 58744558.