Least Common Multiple of 655 and 661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 655 and 661 the smallest integer that is 432955 that is divisible by both numbers.

Least Common Multiple (LCM) of 655 and 661 is 432955.

LCM(655,661) = 432955

LCM of 655 and 661

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

LCM of:
and

Least Common Multiple of 655 and 661

LCM of 655 and 661 is 432955

Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 661. First we will calculate the prime factors of 655 and 661.

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Prime Factorization of 661


661 661
1

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

661 = 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 661.

LCM(655,661) = 51×1311×6611
LCM(655,661) = 432955

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Factors of 661

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

1, 661

Least Common Multiple of 655 and 661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 661, than apply into the LCM equation.

GCF(655,661) = 1
LCM(655,661) = ( 655 × 661) / 1
LCM(655,661) = 432955 / 1
LCM(655,661) = 432955

Properties of LCM 655 and 661

(i) The LCM of 661 and 655 is associative

LCM of 655 and 661 = LCM of 661 and 655

Related Least Common Multiples of 655

Related Least Common Multiples of 661

Frequently Asked Questions on LCM of 655 and 661

1. What is the LCM of 655 and 661?

Answer: LCM of 655 and 661 is 432955.

2. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

3. 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.

4. How to Find the LCM of 655 and 661?

Answer:

Least Common Multiple of 655 and 661 = 432955

Step 1: Find the prime factorization of 655

655 = 5 x 131

Step 2: Find the prime factorization of 661

661 = 661

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

LCM = 432955 = 5 x 131 x 661

Step 4: Therefore, the least common multiple of 655 and 661 is 432955.