Least Common Multiple of 662 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 662 and 670 the smallest integer that is 221770 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 670 is 221770.

LCM(662,670) = 221770

LCM of 662 and 670

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

LCM of:
and

Least Common Multiple of 662 and 670

LCM of 662 and 670 is 221770

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 670. First we will calculate the prime factors of 662 and 670.

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 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 662 and 670.

LCM(662,670) = 21×51×671×3311
LCM(662,670) = 221770

Factors of 662

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

1, 2, 331, 662

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 662 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 662 and 670, than apply into the LCM equation.

GCF(662,670) = 2
LCM(662,670) = ( 662 × 670) / 2
LCM(662,670) = 443540 / 2
LCM(662,670) = 221770

Properties of LCM 662 and 670

(i) The LCM of 670 and 662 is associative

LCM of 662 and 670 = LCM of 670 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 662 and 670

1. What is the LCM of 662 and 670?

Answer: LCM of 662 and 670 is 221770.

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 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 662 and 670?

Answer:

Least Common Multiple of 662 and 670 = 221770

Step 1: Find the prime factorization of 662

662 = 2 x 331

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 = 221770 = 2 x 5 x 67 x 331

Step 4: Therefore, the least common multiple of 662 and 670 is 221770.