Least Common Multiple of 668 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 668 and 672 the smallest integer that is 112224 that is divisible by both numbers.

Least Common Multiple (LCM) of 668 and 672 is 112224.

LCM(668,672) = 112224

LCM of 668 and 672

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

LCM of:
and

Least Common Multiple of 668 and 672

LCM of 668 and 672 is 112224

Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 672. First we will calculate the prime factors of 668 and 672.

Prime Factorization of 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

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 668 and 672.

LCM(668,672) = 25×31×71×1671
LCM(668,672) = 112224

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 668 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 668 and 672, than apply into the LCM equation.

GCF(668,672) = 4
LCM(668,672) = ( 668 × 672) / 4
LCM(668,672) = 448896 / 4
LCM(668,672) = 112224

Properties of LCM 668 and 672

(i) The LCM of 672 and 668 is associative

LCM of 668 and 672 = LCM of 672 and 668

Related Least Common Multiples of 668

Related Least Common Multiples of 672

Frequently Asked Questions on LCM of 668 and 672

1. What is the LCM of 668 and 672?

Answer: LCM of 668 and 672 is 112224.

2. What are the Factors of 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

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 668 and 672?

Answer:

Least Common Multiple of 668 and 672 = 112224

Step 1: Find the prime factorization of 668

668 = 2 x 2 x 167

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 = 112224 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 167

Step 4: Therefore, the least common multiple of 668 and 672 is 112224.