Least Common Multiple of 662 and 668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 662 and 668 the smallest integer that is 221108 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 668 is 221108.

LCM(662,668) = 221108

LCM of 662 and 668

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

LCM of:
and

Least Common Multiple of 662 and 668

LCM of 662 and 668 is 221108

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 668. First we will calculate the prime factors of 662 and 668.

Prime Factorization of 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 662 and 668.

LCM(662,668) = 22×1671×3311
LCM(662,668) = 221108

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Factors of 668

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

1, 2, 4, 167, 334, 668

Least Common Multiple of 662 and 668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 662 and 668, than apply into the LCM equation.

GCF(662,668) = 2
LCM(662,668) = ( 662 × 668) / 2
LCM(662,668) = 442216 / 2
LCM(662,668) = 221108

Properties of LCM 662 and 668

(i) The LCM of 668 and 662 is associative

LCM of 662 and 668 = LCM of 668 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 668

Frequently Asked Questions on LCM of 662 and 668

1. What is the LCM of 662 and 668?

Answer: LCM of 662 and 668 is 221108.

2. What are the Factors of 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

3. 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.

4. How to Find the LCM of 662 and 668?

Answer:

Least Common Multiple of 662 and 668 = 221108

Step 1: Find the prime factorization of 662

662 = 2 x 331

Step 2: Find the prime factorization of 668

668 = 2 x 2 x 167

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

LCM = 221108 = 2 x 2 x 167 x 331

Step 4: Therefore, the least common multiple of 662 and 668 is 221108.