Least Common Multiple of 1979 and 1987

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 1987 the smallest integer that is 3932273 that is divisible by both numbers.

Least Common Multiple (LCM) of 1979 and 1987 is 3932273.

LCM(1979,1987) = 3932273

LCM of 1979 and 1987

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

LCM of:
and

Least Common Multiple of 1979 and 1987

LCM of 1979 and 1987 is 3932273

Least common multiple can be found by multiplying the highest exponent prime factors of 1979 and 1987. First we will calculate the prime factors of 1979 and 1987.

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 1987


1987 1987
1

Prime factors of 1987 are 1987. Prime factorization of 1987 in exponential form is:

1987 = 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 1979 and 1987.

LCM(1979,1987) = 19791×19871
LCM(1979,1987) = 3932273

Factors of 1979

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

1, 1979

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1, 1987

Least Common Multiple of 1979 and 1987 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 1987, than apply into the LCM equation.

GCF(1979,1987) = 1
LCM(1979,1987) = ( 1979 × 1987) / 1
LCM(1979,1987) = 3932273 / 1
LCM(1979,1987) = 3932273

Properties of LCM 1979 and 1987

(i) The LCM of 1987 and 1979 is associative

LCM of 1979 and 1987 = LCM of 1987 and 1979

Related Least Common Multiples of 1979

Related Least Common Multiples of 1987

Frequently Asked Questions on LCM of 1979 and 1987

1. What is the LCM of 1979 and 1987?

Answer: LCM of 1979 and 1987 is 3932273.

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 1987?

Answer: Factors of 1987 are 1, 1987. There are 2 integers that are factors of 1987. The greatest factor of 1987 is 1987.

4. How to Find the LCM of 1979 and 1987?

Answer:

Least Common Multiple of 1979 and 1987 = 3932273

Step 1: Find the prime factorization of 1979

1979 = 1979

Step 2: Find the prime factorization of 1987

1987 = 1987

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

LCM = 3932273 = 1979 x 1987

Step 4: Therefore, the least common multiple of 1979 and 1987 is 3932273.