Least Common Multiple of 1973 and 1979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1973 and 1979 the smallest integer that is 3904567 that is divisible by both numbers.

Least Common Multiple (LCM) of 1973 and 1979 is 3904567.

LCM(1973,1979) = 3904567

LCM of 1973 and 1979

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

LCM of:
and

Least Common Multiple of 1973 and 1979

LCM of 1973 and 1979 is 3904567

Least common multiple can be found by multiplying the highest exponent prime factors of 1973 and 1979. First we will calculate the prime factors of 1973 and 1979.

Prime Factorization of 1973


1973 1973
1

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 19731

Prime Factorization of 1979


1979 1979
1

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

1979 = 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 1973 and 1979.

LCM(1973,1979) = 19731×19791
LCM(1973,1979) = 3904567

Factors of 1973

List of positive integer factors of 1973 that divides 1973 without a remainder.

1, 1973

Factors of 1979

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

1, 1979

Least Common Multiple of 1973 and 1979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1973 and 1979, than apply into the LCM equation.

GCF(1973,1979) = 1
LCM(1973,1979) = ( 1973 × 1979) / 1
LCM(1973,1979) = 3904567 / 1
LCM(1973,1979) = 3904567

Properties of LCM 1973 and 1979

(i) The LCM of 1979 and 1973 is associative

LCM of 1973 and 1979 = LCM of 1979 and 1973

Related Least Common Multiples of 1973

Related Least Common Multiples of 1979

Frequently Asked Questions on LCM of 1973 and 1979

1. What is the LCM of 1973 and 1979?

Answer: LCM of 1973 and 1979 is 3904567.

2. What are the Factors of 1973?

Answer: Factors of 1973 are 1, 1973. There are 2 integers that are factors of 1973. The greatest factor of 1973 is 1973.

3. 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.

4. How to Find the LCM of 1973 and 1979?

Answer:

Least Common Multiple of 1973 and 1979 = 3904567

Step 1: Find the prime factorization of 1973

1973 = 1973

Step 2: Find the prime factorization of 1979

1979 = 1979

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

LCM = 3904567 = 1973 x 1979

Step 4: Therefore, the least common multiple of 1973 and 1979 is 3904567.