Least Common Multiple of 74 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 74 and 80 the smallest integer that is 2960 that is divisible by both numbers.

Least Common Multiple (LCM) of 74 and 80 is 2960.

LCM(74,80) = 2960

LCM of 74 and 80

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

LCM of:
and

Least Common Multiple of 74 and 80

LCM of 74 and 80 is 2960

Least common multiple can be found by multiplying the highest exponent prime factors of 74 and 80. First we will calculate the prime factors of 74 and 80.

Prime Factorization of 74


2 74
37 37
1

Prime factors of 74 are 2,37. Prime factorization of 74 in exponential form is:

74 = 21×371

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 74 and 80.

LCM(74,80) = 24×51×371
LCM(74,80) = 2960

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 74 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 74 and 80, than apply into the LCM equation.

GCF(74,80) = 2
LCM(74,80) = ( 74 × 80) / 2
LCM(74,80) = 5920 / 2
LCM(74,80) = 2960

Properties of LCM 74 and 80

(i) The LCM of 80 and 74 is associative

LCM of 74 and 80 = LCM of 80 and 74

Related Least Common Multiples of 74

Related Least Common Multiples of 80

Frequently Asked Questions on LCM of 74 and 80

1. What is the LCM of 74 and 80?

Answer: LCM of 74 and 80 is 2960.

2. What are the Factors of 74?

Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.

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 74 and 80?

Answer:

Least Common Multiple of 74 and 80 = 2960

Step 1: Find the prime factorization of 74

74 = 2 x 37

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 = 2960 = 2 x 2 x 2 x 2 x 5 x 37

Step 4: Therefore, the least common multiple of 74 and 80 is 2960.