Least Common Multiple of 664 and 672

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 672 the smallest integer that is 55776 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 672 is 55776.

LCM(664,672) = 55776

LCM of 664 and 672

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

LCM of:
and

Least Common Multiple of 664 and 672

LCM of 664 and 672 is 55776

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 672. First we will calculate the prime factors of 664 and 672.

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 672


2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 672 are 2, 3,7. Prime factorization of 672 in exponential form is:

672 = 25×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 664 and 672.

LCM(664,672) = 25×31×71×831
LCM(664,672) = 55776

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 672

List of positive integer factors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Least Common Multiple of 664 and 672 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 672, than apply into the LCM equation.

GCF(664,672) = 8
LCM(664,672) = ( 664 × 672) / 8
LCM(664,672) = 446208 / 8
LCM(664,672) = 55776

Properties of LCM 664 and 672

(i) The LCM of 672 and 664 is associative

LCM of 664 and 672 = LCM of 672 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 664 and 672

1. What is the LCM of 664 and 672?

Answer: LCM of 664 and 672 is 55776.

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 672?

Answer: Factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672. There are 24 integers that are factors of 672. The greatest factor of 672 is 672.

4. How to Find the LCM of 664 and 672?

Answer:

Least Common Multiple of 664 and 672 = 55776

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 672

672 = 2 x 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 55776 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 83

Step 4: Therefore, the least common multiple of 664 and 672 is 55776.