Least Common Multiple of 653 and 660

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 660 the smallest integer that is 430980 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 660 is 430980.

LCM(653,660) = 430980

LCM of 653 and 660

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

LCM of:
and

Least Common Multiple of 653 and 660

LCM of 653 and 660 is 430980

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 660. First we will calculate the prime factors of 653 and 660.

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 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2, 3, 5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 660.

LCM(653,660) = 22×31×51×111×6531
LCM(653,660) = 430980

Factors of 653

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

1, 653

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Least Common Multiple of 653 and 660 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 660, than apply into the LCM equation.

GCF(653,660) = 1
LCM(653,660) = ( 653 × 660) / 1
LCM(653,660) = 430980 / 1
LCM(653,660) = 430980

Properties of LCM 653 and 660

(i) The LCM of 660 and 653 is associative

LCM of 653 and 660 = LCM of 660 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 660

Frequently Asked Questions on LCM of 653 and 660

1. What is the LCM of 653 and 660?

Answer: LCM of 653 and 660 is 430980.

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 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the LCM of 653 and 660?

Answer:

Least Common Multiple of 653 and 660 = 430980

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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

LCM = 430980 = 2 x 2 x 3 x 5 x 11 x 653

Step 4: Therefore, the least common multiple of 653 and 660 is 430980.