Least Common Multiple of 664 and 670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 664 and 670 the smallest integer that is 222440 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 670 is 222440.

LCM(664,670) = 222440

LCM of 664 and 670

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

LCM of:
and

Least Common Multiple of 664 and 670

LCM of 664 and 670 is 222440

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 670. First we will calculate the prime factors of 664 and 670.

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

Prime Factorization of 670


2 670
5 335
67 67
1

Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 664 and 670.

LCM(664,670) = 23×51×671×831
LCM(664,670) = 222440

Factors of 664

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

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

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Least Common Multiple of 664 and 670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 664 and 670, than apply into the LCM equation.

GCF(664,670) = 2
LCM(664,670) = ( 664 × 670) / 2
LCM(664,670) = 444880 / 2
LCM(664,670) = 222440

Properties of LCM 664 and 670

(i) The LCM of 670 and 664 is associative

LCM of 664 and 670 = LCM of 670 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 664 and 670

1. What is the LCM of 664 and 670?

Answer: LCM of 664 and 670 is 222440.

2. 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.

3. What are the Factors of 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

4. How to Find the LCM of 664 and 670?

Answer:

Least Common Multiple of 664 and 670 = 222440

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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

LCM = 222440 = 2 x 2 x 2 x 5 x 67 x 83

Step 4: Therefore, the least common multiple of 664 and 670 is 222440.