Least Common Multiple of 7661 and 7668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7661 and 7668 the smallest integer that is 58744548 that is divisible by both numbers.

Least Common Multiple (LCM) of 7661 and 7668 is 58744548.

LCM(7661,7668) = 58744548

LCM of 7661 and 7668

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

LCM of:
and

Least Common Multiple of 7661 and 7668

LCM of 7661 and 7668 is 58744548

Least common multiple can be found by multiplying the highest exponent prime factors of 7661 and 7668. First we will calculate the prime factors of 7661 and 7668.

Prime Factorization of 7661


47 7661
163 163
1

Prime factors of 7661 are 47,163. Prime factorization of 7661 in exponential form is:

7661 = 471×1631

Prime Factorization of 7668


2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 7668 are 2, 3,71. Prime factorization of 7668 in exponential form is:

7668 = 22×33×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7661 and 7668.

LCM(7661,7668) = 22×33×471×711×1631
LCM(7661,7668) = 58744548

Factors of 7661

List of positive integer factors of 7661 that divides 7661 without a remainder.

1, 47, 163, 7661

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668

Least Common Multiple of 7661 and 7668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7661 and 7668, than apply into the LCM equation.

GCF(7661,7668) = 1
LCM(7661,7668) = ( 7661 × 7668) / 1
LCM(7661,7668) = 58744548 / 1
LCM(7661,7668) = 58744548

Properties of LCM 7661 and 7668

(i) The LCM of 7668 and 7661 is associative

LCM of 7661 and 7668 = LCM of 7668 and 7661

Related Least Common Multiples of 7661

Related Least Common Multiples of 7668

Frequently Asked Questions on LCM of 7661 and 7668

1. What is the LCM of 7661 and 7668?

Answer: LCM of 7661 and 7668 is 58744548.

2. What are the Factors of 7661?

Answer: Factors of 7661 are 1, 47, 163, 7661. There are 4 integers that are factors of 7661. The greatest factor of 7661 is 7661.

3. What are the Factors of 7668?

Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.

4. How to Find the LCM of 7661 and 7668?

Answer:

Least Common Multiple of 7661 and 7668 = 58744548

Step 1: Find the prime factorization of 7661

7661 = 47 x 163

Step 2: Find the prime factorization of 7668

7668 = 2 x 2 x 3 x 3 x 3 x 71

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

LCM = 58744548 = 2 x 2 x 3 x 3 x 3 x 47 x 71 x 163

Step 4: Therefore, the least common multiple of 7661 and 7668 is 58744548.