Least Common Multiple of 76 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 76 and 79 the smallest integer that is 6004 that is divisible by both numbers.

Least Common Multiple (LCM) of 76 and 79 is 6004.

LCM(76,79) = 6004

LCM of 76 and 79

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

LCM of:
and

Least Common Multiple of 76 and 79

LCM of 76 and 79 is 6004

Least common multiple can be found by multiplying the highest exponent prime factors of 76 and 79. First we will calculate the prime factors of 76 and 79.

Prime Factorization of 76


2 76
2 38
19 19
1

Prime factors of 76 are 2,19. Prime factorization of 76 in exponential form is:

76 = 22×191

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 76 and 79.

LCM(76,79) = 22×191×791
LCM(76,79) = 6004

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Factors of 79

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

1, 79

Least Common Multiple of 76 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 76 and 79, than apply into the LCM equation.

GCF(76,79) = 1
LCM(76,79) = ( 76 × 79) / 1
LCM(76,79) = 6004 / 1
LCM(76,79) = 6004

Properties of LCM 76 and 79

(i) The LCM of 79 and 76 is associative

LCM of 76 and 79 = LCM of 79 and 76

Related Least Common Multiples of 76

Related Least Common Multiples of 79

Frequently Asked Questions on LCM of 76 and 79

1. What is the LCM of 76 and 79?

Answer: LCM of 76 and 79 is 6004.

2. What are the Factors of 76?

Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.

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 76 and 79?

Answer:

Least Common Multiple of 76 and 79 = 6004

Step 1: Find the prime factorization of 76

76 = 2 x 2 x 19

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 = 6004 = 2 x 2 x 19 x 79

Step 4: Therefore, the least common multiple of 76 and 79 is 6004.