Least Common Multiple of 661 and 662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 661 and 662 the smallest integer that is 437582 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 662 is 437582.

LCM(661,662) = 437582

LCM of 661 and 662

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

LCM of:
and

Least Common Multiple of 661 and 662

LCM of 661 and 662 is 437582

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 662. First we will calculate the prime factors of 661 and 662.

Prime Factorization of 661


661 661
1

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 662.

LCM(661,662) = 21×3311×6611
LCM(661,662) = 437582

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1, 661

Factors of 662

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

1, 2, 331, 662

Least Common Multiple of 661 and 662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 661 and 662, than apply into the LCM equation.

GCF(661,662) = 1
LCM(661,662) = ( 661 × 662) / 1
LCM(661,662) = 437582 / 1
LCM(661,662) = 437582

Properties of LCM 661 and 662

(i) The LCM of 662 and 661 is associative

LCM of 661 and 662 = LCM of 662 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 662

Frequently Asked Questions on LCM of 661 and 662

1. What is the LCM of 661 and 662?

Answer: LCM of 661 and 662 is 437582.

2. What are the Factors of 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

3. 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.

4. How to Find the LCM of 661 and 662?

Answer:

Least Common Multiple of 661 and 662 = 437582

Step 1: Find the prime factorization of 661

661 = 661

Step 2: Find the prime factorization of 662

662 = 2 x 331

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

LCM = 437582 = 2 x 331 x 661

Step 4: Therefore, the least common multiple of 661 and 662 is 437582.