Least Common Multiple of 659 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 659 and 661 the smallest integer that is 435599 that is divisible by both numbers.

Least Common Multiple (LCM) of 659 and 661 is 435599.

LCM(659,661) = 435599

LCM of 659 and 661

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

LCM of:
and

Least Common Multiple of 659 and 661

LCM of 659 and 661 is 435599

Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 661. First we will calculate the prime factors of 659 and 661.

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

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 659 and 661.

LCM(659,661) = 6591×6611
LCM(659,661) = 435599

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Factors of 661

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

1, 661

Least Common Multiple of 659 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 659 and 661, than apply into the LCM equation.

GCF(659,661) = 1
LCM(659,661) = ( 659 × 661) / 1
LCM(659,661) = 435599 / 1
LCM(659,661) = 435599

Properties of LCM 659 and 661

(i) The LCM of 661 and 659 is associative

LCM of 659 and 661 = LCM of 661 and 659

Related Least Common Multiples of 659

Related Least Common Multiples of 661

Frequently Asked Questions on LCM of 659 and 661

1. What is the LCM of 659 and 661?

Answer: LCM of 659 and 661 is 435599.

2. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

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 659 and 661?

Answer:

Least Common Multiple of 659 and 661 = 435599

Step 1: Find the prime factorization of 659

659 = 659

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 = 435599 = 659 x 661

Step 4: Therefore, the least common multiple of 659 and 661 is 435599.