Least Common Multiple of 671 and 679

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 679 the smallest integer that is 455609 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 679 is 455609.

LCM(671,679) = 455609

LCM of 671 and 679

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

LCM of:
and

Least Common Multiple of 671 and 679

LCM of 671 and 679 is 455609

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 679. First we will calculate the prime factors of 671 and 679.

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 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 671 and 679.

LCM(671,679) = 71×111×611×971
LCM(671,679) = 455609

Factors of 671

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

1, 11, 61, 671

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Least Common Multiple of 671 and 679 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 679, than apply into the LCM equation.

GCF(671,679) = 1
LCM(671,679) = ( 671 × 679) / 1
LCM(671,679) = 455609 / 1
LCM(671,679) = 455609

Properties of LCM 671 and 679

(i) The LCM of 679 and 671 is associative

LCM of 671 and 679 = LCM of 679 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 679

Frequently Asked Questions on LCM of 671 and 679

1. What is the LCM of 671 and 679?

Answer: LCM of 671 and 679 is 455609.

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 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

4. How to Find the LCM of 671 and 679?

Answer:

Least Common Multiple of 671 and 679 = 455609

Step 1: Find the prime factorization of 671

671 = 11 x 61

Step 2: Find the prime factorization of 679

679 = 7 x 97

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

LCM = 455609 = 7 x 11 x 61 x 97

Step 4: Therefore, the least common multiple of 671 and 679 is 455609.