Least Common Multiple of 670 and 671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 670 and 671 the smallest integer that is 449570 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 671 is 449570.

LCM(670,671) = 449570

LCM of 670 and 671

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

LCM of:
and

Least Common Multiple of 670 and 671

LCM of 670 and 671 is 449570

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 671. First we will calculate the prime factors of 670 and 671.

Prime Factorization of 670


2 670
5 335
67 67
1

Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 671.

LCM(670,671) = 21×51×111×611×671
LCM(670,671) = 449570

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Factors of 671

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

1, 11, 61, 671

Least Common Multiple of 670 and 671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 670 and 671, than apply into the LCM equation.

GCF(670,671) = 1
LCM(670,671) = ( 670 × 671) / 1
LCM(670,671) = 449570 / 1
LCM(670,671) = 449570

Properties of LCM 670 and 671

(i) The LCM of 671 and 670 is associative

LCM of 670 and 671 = LCM of 671 and 670

Related Least Common Multiples of 670

Related Least Common Multiples of 671

Frequently Asked Questions on LCM of 670 and 671

1. What is the LCM of 670 and 671?

Answer: LCM of 670 and 671 is 449570.

2. What are the Factors of 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

3. 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.

4. How to Find the LCM of 670 and 671?

Answer:

Least Common Multiple of 670 and 671 = 449570

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 671

671 = 11 x 61

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

LCM = 449570 = 2 x 5 x 11 x 61 x 67

Step 4: Therefore, the least common multiple of 670 and 671 is 449570.