Least Common Multiple of 60 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 60 and 71 the smallest integer that is 4260 that is divisible by both numbers.

Least Common Multiple (LCM) of 60 and 71 is 4260.

LCM(60,71) = 4260

LCM of 60 and 71

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

LCM of:
and

Least Common Multiple of 60 and 71

LCM of 60 and 71 is 4260

Least common multiple can be found by multiplying the highest exponent prime factors of 60 and 71. First we will calculate the prime factors of 60 and 71.

Prime Factorization of 60


2 60
2 30
3 15
5 5
1

Prime factors of 60 are 2, 3,5. Prime factorization of 60 in exponential form is:

60 = 22×31×51

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 60 and 71.

LCM(60,71) = 22×31×51×711
LCM(60,71) = 4260

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 71

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

1, 71

Least Common Multiple of 60 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 60 and 71, than apply into the LCM equation.

GCF(60,71) = 1
LCM(60,71) = ( 60 × 71) / 1
LCM(60,71) = 4260 / 1
LCM(60,71) = 4260

Properties of LCM 60 and 71

(i) The LCM of 71 and 60 is associative

LCM of 60 and 71 = LCM of 71 and 60

Related Least Common Multiples of 60

Related Least Common Multiples of 71

Frequently Asked Questions on LCM of 60 and 71

1. What is the LCM of 60 and 71?

Answer: LCM of 60 and 71 is 4260.

2. What are the Factors of 60?

Answer: Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. There are 12 integers that are factors of 60. The greatest factor of 60 is 60.

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 60 and 71?

Answer:

Least Common Multiple of 60 and 71 = 4260

Step 1: Find the prime factorization of 60

60 = 2 x 2 x 3 x 5

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 = 4260 = 2 x 2 x 3 x 5 x 71

Step 4: Therefore, the least common multiple of 60 and 71 is 4260.