Least Common Multiple of 1976 and 1982

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 1982 the smallest integer that is 1958216 that is divisible by both numbers.

Least Common Multiple (LCM) of 1976 and 1982 is 1958216.

LCM(1976,1982) = 1958216

LCM of 1976 and 1982

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

LCM of:
and

Least Common Multiple of 1976 and 1982

LCM of 1976 and 1982 is 1958216

Least common multiple can be found by multiplying the highest exponent prime factors of 1976 and 1982. First we will calculate the prime factors of 1976 and 1982.

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 1982


2 1982
991 991
1

Prime factors of 1982 are 2,991. Prime factorization of 1982 in exponential form is:

1982 = 21×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 1976 and 1982.

LCM(1976,1982) = 23×131×191×9911
LCM(1976,1982) = 1958216

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 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1, 2, 991, 1982

Least Common Multiple of 1976 and 1982 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 1982, than apply into the LCM equation.

GCF(1976,1982) = 2
LCM(1976,1982) = ( 1976 × 1982) / 2
LCM(1976,1982) = 3916432 / 2
LCM(1976,1982) = 1958216

Properties of LCM 1976 and 1982

(i) The LCM of 1982 and 1976 is associative

LCM of 1976 and 1982 = LCM of 1982 and 1976

Related Least Common Multiples of 1976

Related Least Common Multiples of 1982

Frequently Asked Questions on LCM of 1976 and 1982

1. What is the LCM of 1976 and 1982?

Answer: LCM of 1976 and 1982 is 1958216.

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 1982?

Answer: Factors of 1982 are 1, 2, 991, 1982. There are 4 integers that are factors of 1982. The greatest factor of 1982 is 1982.

4. How to Find the LCM of 1976 and 1982?

Answer:

Least Common Multiple of 1976 and 1982 = 1958216

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 1982

1982 = 2 x 991

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

LCM = 1958216 = 2 x 2 x 2 x 13 x 19 x 991

Step 4: Therefore, the least common multiple of 1976 and 1982 is 1958216.