Least Common Multiple of 671 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 671 and 672 the smallest integer that is 450912 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 672 is 450912.

LCM(671,672) = 450912

LCM of 671 and 672

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

LCM of:
and

Least Common Multiple of 671 and 672

LCM of 671 and 672 is 450912

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 672. First we will calculate the prime factors of 671 and 672.

Prime Factorization of 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

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 671 and 672.

LCM(671,672) = 25×31×71×111×611
LCM(671,672) = 450912

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1, 11, 61, 671

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 671 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 671 and 672, than apply into the LCM equation.

GCF(671,672) = 1
LCM(671,672) = ( 671 × 672) / 1
LCM(671,672) = 450912 / 1
LCM(671,672) = 450912

Properties of LCM 671 and 672

(i) The LCM of 672 and 671 is associative

LCM of 671 and 672 = LCM of 672 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 671 and 672

1. What is the LCM of 671 and 672?

Answer: LCM of 671 and 672 is 450912.

2. What are the Factors of 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

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 671 and 672?

Answer:

Least Common Multiple of 671 and 672 = 450912

Step 1: Find the prime factorization of 671

671 = 11 x 61

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 = 450912 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 671 and 672 is 450912.