Least Common Multiple of 668 and 670

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 670 the smallest integer that is 223780 that is divisible by both numbers.

Least Common Multiple (LCM) of 668 and 670 is 223780.

LCM(668,670) = 223780

LCM of 668 and 670

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

LCM of:
and

Least Common Multiple of 668 and 670

LCM of 668 and 670 is 223780

Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 670. First we will calculate the prime factors of 668 and 670.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 668 and 670.

LCM(668,670) = 22×51×671×1671
LCM(668,670) = 223780

Factors of 668

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

1, 2, 4, 167, 334, 668

Factors of 670

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

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

Least Common Multiple of 668 and 670 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 670, than apply into the LCM equation.

GCF(668,670) = 2
LCM(668,670) = ( 668 × 670) / 2
LCM(668,670) = 447560 / 2
LCM(668,670) = 223780

Properties of LCM 668 and 670

(i) The LCM of 670 and 668 is associative

LCM of 668 and 670 = LCM of 670 and 668

Related Least Common Multiples of 668

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 668 and 670

1. What is the LCM of 668 and 670?

Answer: LCM of 668 and 670 is 223780.

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 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.

4. How to Find the LCM of 668 and 670?

Answer:

Least Common Multiple of 668 and 670 = 223780

Step 1: Find the prime factorization of 668

668 = 2 x 2 x 167

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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

LCM = 223780 = 2 x 2 x 5 x 67 x 167

Step 4: Therefore, the least common multiple of 668 and 670 is 223780.