Least Common Multiple of 63 and 80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 63 and 80 the smallest integer that is 5040 that is divisible by both numbers.

Least Common Multiple (LCM) of 63 and 80 is 5040.

LCM(63,80) = 5040

LCM of 63 and 80

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

LCM of:
and

Least Common Multiple of 63 and 80

LCM of 63 and 80 is 5040

Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 80. First we will calculate the prime factors of 63 and 80.

Prime Factorization of 63


3 63
3 21
7 7
1

Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:

63 = 32×71

Prime Factorization of 80


2 80
2 40
2 20
2 10
5 5
1

Prime factors of 80 are 2,5. Prime factorization of 80 in exponential form is:

80 = 24×51

Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 80.

LCM(63,80) = 24×32×51×71
LCM(63,80) = 5040

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Least Common Multiple of 63 and 80 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 80, than apply into the LCM equation.

GCF(63,80) = 1
LCM(63,80) = ( 63 × 80) / 1
LCM(63,80) = 5040 / 1
LCM(63,80) = 5040

Properties of LCM 63 and 80

(i) The LCM of 80 and 63 is associative

LCM of 63 and 80 = LCM of 80 and 63

Related Least Common Multiples of 63

Related Least Common Multiples of 80

Frequently Asked Questions on LCM of 63 and 80

1. What is the LCM of 63 and 80?

Answer: LCM of 63 and 80 is 5040.

2. What are the Factors of 63?

Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.

3. What are the Factors of 80?

Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.

4. How to Find the LCM of 63 and 80?

Answer:

Least Common Multiple of 63 and 80 = 5040

Step 1: Find the prime factorization of 63

63 = 3 x 3 x 7

Step 2: Find the prime factorization of 80

80 = 2 x 2 x 2 x 2 x 5

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

LCM = 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

Step 4: Therefore, the least common multiple of 63 and 80 is 5040.