Least Common Multiple of 1979 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 1979 and 1986 the smallest integer that is 3930294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1979 and 1986 is 3930294.

LCM(1979,1986) = 3930294

LCM of 1979 and 1986

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

LCM of:
and

Least Common Multiple of 1979 and 1986

LCM of 1979 and 1986 is 3930294

Least common multiple can be found by multiplying the highest exponent prime factors of 1979 and 1986. First we will calculate the prime factors of 1979 and 1986.

Prime Factorization of 1979


1979 1979
1

Prime factors of 1979 are 1979. Prime factorization of 1979 in exponential form is:

1979 = 19791

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 1979 and 1986.

LCM(1979,1986) = 21×31×3311×19791
LCM(1979,1986) = 3930294

Factors of 1979

List of positive integer factors of 1979 that divides 1979 without a remainder.

1, 1979

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 1979 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 1979 and 1986, than apply into the LCM equation.

GCF(1979,1986) = 1
LCM(1979,1986) = ( 1979 × 1986) / 1
LCM(1979,1986) = 3930294 / 1
LCM(1979,1986) = 3930294

Properties of LCM 1979 and 1986

(i) The LCM of 1986 and 1979 is associative

LCM of 1979 and 1986 = LCM of 1986 and 1979

Related Least Common Multiples of 1979

Related Least Common Multiples of 1986

Frequently Asked Questions on LCM of 1979 and 1986

1. What is the LCM of 1979 and 1986?

Answer: LCM of 1979 and 1986 is 3930294.

2. What are the Factors of 1979?

Answer: Factors of 1979 are 1, 1979. There are 2 integers that are factors of 1979. The greatest factor of 1979 is 1979.

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 1979 and 1986?

Answer:

Least Common Multiple of 1979 and 1986 = 3930294

Step 1: Find the prime factorization of 1979

1979 = 1979

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 = 3930294 = 2 x 3 x 331 x 1979

Step 4: Therefore, the least common multiple of 1979 and 1986 is 3930294.