Least Common Multiple of 60 and 79

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 79 the smallest integer that is 4740 that is divisible by both numbers.

Least Common Multiple (LCM) of 60 and 79 is 4740.

LCM(60,79) = 4740

LCM of 60 and 79

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

LCM of:
and

Least Common Multiple of 60 and 79

LCM of 60 and 79 is 4740

Least common multiple can be found by multiplying the highest exponent prime factors of 60 and 79. First we will calculate the prime factors of 60 and 79.

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 79


79 79
1

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 791

Now multiplying the highest exponent prime factors to calculate the LCM of 60 and 79.

LCM(60,79) = 22×31×51×791
LCM(60,79) = 4740

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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1, 79

Least Common Multiple of 60 and 79 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 79, than apply into the LCM equation.

GCF(60,79) = 1
LCM(60,79) = ( 60 × 79) / 1
LCM(60,79) = 4740 / 1
LCM(60,79) = 4740

Properties of LCM 60 and 79

(i) The LCM of 79 and 60 is associative

LCM of 60 and 79 = LCM of 79 and 60

Related Least Common Multiples of 60

Related Least Common Multiples of 79

Frequently Asked Questions on LCM of 60 and 79

1. What is the LCM of 60 and 79?

Answer: LCM of 60 and 79 is 4740.

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 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

4. How to Find the LCM of 60 and 79?

Answer:

Least Common Multiple of 60 and 79 = 4740

Step 1: Find the prime factorization of 60

60 = 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 79

79 = 79

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

LCM = 4740 = 2 x 2 x 3 x 5 x 79

Step 4: Therefore, the least common multiple of 60 and 79 is 4740.