Least Common Multiple of 665 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 665 and 672 the smallest integer that is 63840 that is divisible by both numbers.

Least Common Multiple (LCM) of 665 and 672 is 63840.

LCM(665,672) = 63840

LCM of 665 and 672

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

LCM of:
and

Least Common Multiple of 665 and 672

LCM of 665 and 672 is 63840

Least common multiple can be found by multiplying the highest exponent prime factors of 665 and 672. First we will calculate the prime factors of 665 and 672.

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

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 665 and 672.

LCM(665,672) = 25×31×51×71×191
LCM(665,672) = 63840

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

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 665 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 665 and 672, than apply into the LCM equation.

GCF(665,672) = 7
LCM(665,672) = ( 665 × 672) / 7
LCM(665,672) = 446880 / 7
LCM(665,672) = 63840

Properties of LCM 665 and 672

(i) The LCM of 672 and 665 is associative

LCM of 665 and 672 = LCM of 672 and 665

Related Least Common Multiples of 665

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 665 and 672

1. What is the LCM of 665 and 672?

Answer: LCM of 665 and 672 is 63840.

2. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

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 665 and 672?

Answer:

Least Common Multiple of 665 and 672 = 63840

Step 1: Find the prime factorization of 665

665 = 5 x 7 x 19

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 = 63840 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 665 and 672 is 63840.