Least Common Multiple of 661 and 664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 661 and 664 the smallest integer that is 438904 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 664 is 438904.

LCM(661,664) = 438904

LCM of 661 and 664

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

LCM of:
and

Least Common Multiple of 661 and 664

LCM of 661 and 664 is 438904

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 664. First we will calculate the prime factors of 661 and 664.

Prime Factorization of 661


661 661
1

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 6611

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 664.

LCM(661,664) = 23×831×6611
LCM(661,664) = 438904

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1, 661

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Least Common Multiple of 661 and 664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 661 and 664, than apply into the LCM equation.

GCF(661,664) = 1
LCM(661,664) = ( 661 × 664) / 1
LCM(661,664) = 438904 / 1
LCM(661,664) = 438904

Properties of LCM 661 and 664

(i) The LCM of 664 and 661 is associative

LCM of 661 and 664 = LCM of 664 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 661 and 664

1. What is the LCM of 661 and 664?

Answer: LCM of 661 and 664 is 438904.

2. What are the Factors of 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

3. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

4. How to Find the LCM of 661 and 664?

Answer:

Least Common Multiple of 661 and 664 = 438904

Step 1: Find the prime factorization of 661

661 = 661

Step 2: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

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

LCM = 438904 = 2 x 2 x 2 x 83 x 661

Step 4: Therefore, the least common multiple of 661 and 664 is 438904.