Least Common Multiple of 671 and 673

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 673 the smallest integer that is 451583 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 673 is 451583.

LCM(671,673) = 451583

LCM of 671 and 673

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

LCM of:
and

Least Common Multiple of 671 and 673

LCM of 671 and 673 is 451583

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 673. First we will calculate the prime factors of 671 and 673.

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 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 671 and 673.

LCM(671,673) = 111×611×6731
LCM(671,673) = 451583

Factors of 671

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

1, 11, 61, 671

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1, 673

Least Common Multiple of 671 and 673 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 673, than apply into the LCM equation.

GCF(671,673) = 1
LCM(671,673) = ( 671 × 673) / 1
LCM(671,673) = 451583 / 1
LCM(671,673) = 451583

Properties of LCM 671 and 673

(i) The LCM of 673 and 671 is associative

LCM of 671 and 673 = LCM of 673 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 673

Frequently Asked Questions on LCM of 671 and 673

1. What is the LCM of 671 and 673?

Answer: LCM of 671 and 673 is 451583.

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 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

4. How to Find the LCM of 671 and 673?

Answer:

Least Common Multiple of 671 and 673 = 451583

Step 1: Find the prime factorization of 671

671 = 11 x 61

Step 2: Find the prime factorization of 673

673 = 673

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

LCM = 451583 = 11 x 61 x 673

Step 4: Therefore, the least common multiple of 671 and 673 is 451583.