Least Common Multiple of 1976 and 1981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1976 and 1981 the smallest integer that is 3914456 that is divisible by both numbers.

Least Common Multiple (LCM) of 1976 and 1981 is 3914456.

LCM(1976,1981) = 3914456

LCM of 1976 and 1981

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

LCM of:
and

Least Common Multiple of 1976 and 1981

LCM of 1976 and 1981 is 3914456

Least common multiple can be found by multiplying the highest exponent prime factors of 1976 and 1981. First we will calculate the prime factors of 1976 and 1981.

Prime Factorization of 1976


2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 1976 are 2, 13,19. Prime factorization of 1976 in exponential form is:

1976 = 23×131×191

Prime Factorization of 1981


7 1981
283 283
1

Prime factors of 1981 are 7,283. Prime factorization of 1981 in exponential form is:

1981 = 71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1976 and 1981.

LCM(1976,1981) = 23×71×131×191×2831
LCM(1976,1981) = 3914456

Factors of 1976

List of positive integer factors of 1976 that divides 1976 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976

Factors of 1981

List of positive integer factors of 1981 that divides 1981 without a remainder.

1, 7, 283, 1981

Least Common Multiple of 1976 and 1981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1976 and 1981, than apply into the LCM equation.

GCF(1976,1981) = 1
LCM(1976,1981) = ( 1976 × 1981) / 1
LCM(1976,1981) = 3914456 / 1
LCM(1976,1981) = 3914456

Properties of LCM 1976 and 1981

(i) The LCM of 1981 and 1976 is associative

LCM of 1976 and 1981 = LCM of 1981 and 1976

Related Least Common Multiples of 1976

Related Least Common Multiples of 1981

Frequently Asked Questions on LCM of 1976 and 1981

1. What is the LCM of 1976 and 1981?

Answer: LCM of 1976 and 1981 is 3914456.

2. What are the Factors of 1976?

Answer: Factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976. There are 16 integers that are factors of 1976. The greatest factor of 1976 is 1976.

3. What are the Factors of 1981?

Answer: Factors of 1981 are 1, 7, 283, 1981. There are 4 integers that are factors of 1981. The greatest factor of 1981 is 1981.

4. How to Find the LCM of 1976 and 1981?

Answer:

Least Common Multiple of 1976 and 1981 = 3914456

Step 1: Find the prime factorization of 1976

1976 = 2 x 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 1981

1981 = 7 x 283

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

LCM = 3914456 = 2 x 2 x 2 x 7 x 13 x 19 x 283

Step 4: Therefore, the least common multiple of 1976 and 1981 is 3914456.