Least Common Multiple of 1978 and 1986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1978 and 1986 the smallest integer that is 1964154 that is divisible by both numbers.

Least Common Multiple (LCM) of 1978 and 1986 is 1964154.

LCM(1978,1986) = 1964154

LCM of 1978 and 1986

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

LCM of:
and

Least Common Multiple of 1978 and 1986

LCM of 1978 and 1986 is 1964154

Least common multiple can be found by multiplying the highest exponent prime factors of 1978 and 1986. First we will calculate the prime factors of 1978 and 1986.

Prime Factorization of 1978


2 1978
23 989
43 43
1

Prime factors of 1978 are 2, 23,43. Prime factorization of 1978 in exponential form is:

1978 = 21×231×431

Prime Factorization of 1986


2 1986
3 993
331 331
1

Prime factors of 1986 are 2, 3,331. Prime factorization of 1986 in exponential form is:

1986 = 21×31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 1978 and 1986.

LCM(1978,1986) = 21×31×231×431×3311
LCM(1978,1986) = 1964154

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1, 2, 23, 43, 46, 86, 989, 1978

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1, 2, 3, 6, 331, 662, 993, 1986

Least Common Multiple of 1978 and 1986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1978 and 1986, than apply into the LCM equation.

GCF(1978,1986) = 2
LCM(1978,1986) = ( 1978 × 1986) / 2
LCM(1978,1986) = 3928308 / 2
LCM(1978,1986) = 1964154

Properties of LCM 1978 and 1986

(i) The LCM of 1986 and 1978 is associative

LCM of 1978 and 1986 = LCM of 1986 and 1978

Related Least Common Multiples of 1978

Related Least Common Multiples of 1986

Frequently Asked Questions on LCM of 1978 and 1986

1. What is the LCM of 1978 and 1986?

Answer: LCM of 1978 and 1986 is 1964154.

2. What are the Factors of 1978?

Answer: Factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978. There are 8 integers that are factors of 1978. The greatest factor of 1978 is 1978.

3. What are the Factors of 1986?

Answer: Factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986. There are 8 integers that are factors of 1986. The greatest factor of 1986 is 1986.

4. How to Find the LCM of 1978 and 1986?

Answer:

Least Common Multiple of 1978 and 1986 = 1964154

Step 1: Find the prime factorization of 1978

1978 = 2 x 23 x 43

Step 2: Find the prime factorization of 1986

1986 = 2 x 3 x 331

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

LCM = 1964154 = 2 x 3 x 23 x 43 x 331

Step 4: Therefore, the least common multiple of 1978 and 1986 is 1964154.