Least Common Multiple of 662 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 662 and 664 the smallest integer that is 219784 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 664 is 219784.

LCM(662,664) = 219784

LCM of 662 and 664

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

LCM of:
and

Least Common Multiple of 662 and 664

LCM of 662 and 664 is 219784

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 664. First we will calculate the prime factors of 662 and 664.

Prime Factorization of 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

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 662 and 664.

LCM(662,664) = 23×831×3311
LCM(662,664) = 219784

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 662 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 662 and 664, than apply into the LCM equation.

GCF(662,664) = 2
LCM(662,664) = ( 662 × 664) / 2
LCM(662,664) = 439568 / 2
LCM(662,664) = 219784

Properties of LCM 662 and 664

(i) The LCM of 664 and 662 is associative

LCM of 662 and 664 = LCM of 664 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 662 and 664

1. What is the LCM of 662 and 664?

Answer: LCM of 662 and 664 is 219784.

2. What are the Factors of 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

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 662 and 664?

Answer:

Least Common Multiple of 662 and 664 = 219784

Step 1: Find the prime factorization of 662

662 = 2 x 331

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 = 219784 = 2 x 2 x 2 x 83 x 331

Step 4: Therefore, the least common multiple of 662 and 664 is 219784.