Least Common Multiple of 4074 and 4080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4074 and 4080 the smallest integer that is 2770320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4074 and 4080 is 2770320.

LCM(4074,4080) = 2770320

LCM of 4074 and 4080

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

LCM of:
and

Least Common Multiple of 4074 and 4080

LCM of 4074 and 4080 is 2770320

Least common multiple can be found by multiplying the highest exponent prime factors of 4074 and 4080. First we will calculate the prime factors of 4074 and 4080.

Prime Factorization of 4074


2 4074
3 2037
7 679
97 97
1

Prime factors of 4074 are 2, 3, 7,97. Prime factorization of 4074 in exponential form is:

4074 = 21×31×71×971

Prime Factorization of 4080


2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 4080 are 2, 3, 5,17. Prime factorization of 4080 in exponential form is:

4080 = 24×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4074 and 4080.

LCM(4074,4080) = 24×31×51×71×171×971
LCM(4074,4080) = 2770320

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080

Least Common Multiple of 4074 and 4080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4074 and 4080, than apply into the LCM equation.

GCF(4074,4080) = 6
LCM(4074,4080) = ( 4074 × 4080) / 6
LCM(4074,4080) = 16621920 / 6
LCM(4074,4080) = 2770320

Properties of LCM 4074 and 4080

(i) The LCM of 4080 and 4074 is associative

LCM of 4074 and 4080 = LCM of 4080 and 4074

Related Least Common Multiples of 4074

Related Least Common Multiples of 4080

Frequently Asked Questions on LCM of 4074 and 4080

1. What is the LCM of 4074 and 4080?

Answer: LCM of 4074 and 4080 is 2770320.

2. What are the Factors of 4074?

Answer: Factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074. There are 16 integers that are factors of 4074. The greatest factor of 4074 is 4074.

3. What are the Factors of 4080?

Answer: Factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. There are 40 integers that are factors of 4080. The greatest factor of 4080 is 4080.

4. How to Find the LCM of 4074 and 4080?

Answer:

Least Common Multiple of 4074 and 4080 = 2770320

Step 1: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

Step 2: Find the prime factorization of 4080

4080 = 2 x 2 x 2 x 2 x 3 x 5 x 17

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

LCM = 2770320 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 97

Step 4: Therefore, the least common multiple of 4074 and 4080 is 2770320.