Least Common Multiple of 1979 and 1984

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 1984 the smallest integer that is 3926336 that is divisible by both numbers.

Least Common Multiple (LCM) of 1979 and 1984 is 3926336.

LCM(1979,1984) = 3926336

LCM of 1979 and 1984

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

LCM of:
and

Least Common Multiple of 1979 and 1984

LCM of 1979 and 1984 is 3926336

Least common multiple can be found by multiplying the highest exponent prime factors of 1979 and 1984. First we will calculate the prime factors of 1979 and 1984.

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 1984


2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 1984 are 2,31. Prime factorization of 1984 in exponential form is:

1984 = 26×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1979 and 1984.

LCM(1979,1984) = 26×311×19791
LCM(1979,1984) = 3926336

Factors of 1979

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

1, 1979

Factors of 1984

List of positive integer factors of 1984 that divides 1984 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984

Least Common Multiple of 1979 and 1984 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 1984, than apply into the LCM equation.

GCF(1979,1984) = 1
LCM(1979,1984) = ( 1979 × 1984) / 1
LCM(1979,1984) = 3926336 / 1
LCM(1979,1984) = 3926336

Properties of LCM 1979 and 1984

(i) The LCM of 1984 and 1979 is associative

LCM of 1979 and 1984 = LCM of 1984 and 1979

Related Least Common Multiples of 1979

Related Least Common Multiples of 1984

Frequently Asked Questions on LCM of 1979 and 1984

1. What is the LCM of 1979 and 1984?

Answer: LCM of 1979 and 1984 is 3926336.

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 1984?

Answer: Factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984. There are 14 integers that are factors of 1984. The greatest factor of 1984 is 1984.

4. How to Find the LCM of 1979 and 1984?

Answer:

Least Common Multiple of 1979 and 1984 = 3926336

Step 1: Find the prime factorization of 1979

1979 = 1979

Step 2: Find the prime factorization of 1984

1984 = 2 x 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 3926336 = 2 x 2 x 2 x 2 x 2 x 2 x 31 x 1979

Step 4: Therefore, the least common multiple of 1979 and 1984 is 3926336.