Least Common Multiple of 653 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 653 and 661 the smallest integer that is 431633 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 661 is 431633.

LCM(653,661) = 431633

LCM of 653 and 661

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

LCM of:
and

Least Common Multiple of 653 and 661

LCM of 653 and 661 is 431633

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 661. First we will calculate the prime factors of 653 and 661.

Prime Factorization of 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

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 653 and 661.

LCM(653,661) = 6531×6611
LCM(653,661) = 431633

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

Factors of 661

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

1, 661

Least Common Multiple of 653 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 653 and 661, than apply into the LCM equation.

GCF(653,661) = 1
LCM(653,661) = ( 653 × 661) / 1
LCM(653,661) = 431633 / 1
LCM(653,661) = 431633

Properties of LCM 653 and 661

(i) The LCM of 661 and 653 is associative

LCM of 653 and 661 = LCM of 661 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 661

Frequently Asked Questions on LCM of 653 and 661

1. What is the LCM of 653 and 661?

Answer: LCM of 653 and 661 is 431633.

2. What are the Factors of 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

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 653 and 661?

Answer:

Least Common Multiple of 653 and 661 = 431633

Step 1: Find the prime factorization of 653

653 = 653

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 = 431633 = 653 x 661

Step 4: Therefore, the least common multiple of 653 and 661 is 431633.