Least Common Multiple of 670 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 670 and 672 the smallest integer that is 225120 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 672 is 225120.

LCM(670,672) = 225120

LCM of 670 and 672

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

LCM of:
and

Least Common Multiple of 670 and 672

LCM of 670 and 672 is 225120

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 672. First we will calculate the prime factors of 670 and 672.

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 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 670 and 672.

LCM(670,672) = 25×31×51×71×671
LCM(670,672) = 225120

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 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 670 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 670 and 672, than apply into the LCM equation.

GCF(670,672) = 2
LCM(670,672) = ( 670 × 672) / 2
LCM(670,672) = 450240 / 2
LCM(670,672) = 225120

Properties of LCM 670 and 672

(i) The LCM of 672 and 670 is associative

LCM of 670 and 672 = LCM of 672 and 670

Related Least Common Multiples of 670

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 670 and 672

1. What is the LCM of 670 and 672?

Answer: LCM of 670 and 672 is 225120.

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 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 670 and 672?

Answer:

Least Common Multiple of 670 and 672 = 225120

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

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 = 225120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67

Step 4: Therefore, the least common multiple of 670 and 672 is 225120.