Least Common Multiple of 63 and 71

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 71 the smallest integer that is 4473 that is divisible by both numbers.

Least Common Multiple (LCM) of 63 and 71 is 4473.

LCM(63,71) = 4473

LCM of 63 and 71

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

LCM of:
and

Least Common Multiple of 63 and 71

LCM of 63 and 71 is 4473

Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 71. First we will calculate the prime factors of 63 and 71.

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 71


71 71
1

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 711

Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 71.

LCM(63,71) = 32×71×711
LCM(63,71) = 4473

Factors of 63

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

1, 3, 7, 9, 21, 63

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1, 71

Least Common Multiple of 63 and 71 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 71, than apply into the LCM equation.

GCF(63,71) = 1
LCM(63,71) = ( 63 × 71) / 1
LCM(63,71) = 4473 / 1
LCM(63,71) = 4473

Properties of LCM 63 and 71

(i) The LCM of 71 and 63 is associative

LCM of 63 and 71 = LCM of 71 and 63

Frequently Asked Questions on LCM of 63 and 71

1. What is the LCM of 63 and 71?

Answer: LCM of 63 and 71 is 4473.

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 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. How to Find the LCM of 63 and 71?

Answer:

Least Common Multiple of 63 and 71 = 4473

Step 1: Find the prime factorization of 63

63 = 3 x 3 x 7

Step 2: Find the prime factorization of 71

71 = 71

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

LCM = 4473 = 3 x 3 x 7 x 71

Step 4: Therefore, the least common multiple of 63 and 71 is 4473.