Least Common Multiple of 1968 and 1973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1968 and 1973 the smallest integer that is 3882864 that is divisible by both numbers.

Least Common Multiple (LCM) of 1968 and 1973 is 3882864.

LCM(1968,1973) = 3882864

LCM of 1968 and 1973

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

LCM of:
and

Least Common Multiple of 1968 and 1973

LCM of 1968 and 1973 is 3882864

Least common multiple can be found by multiplying the highest exponent prime factors of 1968 and 1973. First we will calculate the prime factors of 1968 and 1973.

Prime Factorization of 1968


2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 1968 are 2, 3,41. Prime factorization of 1968 in exponential form is:

1968 = 24×31×411

Prime Factorization of 1973


1973 1973
1

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

1973 = 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 1968 and 1973.

LCM(1968,1973) = 24×31×411×19731
LCM(1968,1973) = 3882864

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968

Factors of 1973

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

1, 1973

Least Common Multiple of 1968 and 1973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1968 and 1973, than apply into the LCM equation.

GCF(1968,1973) = 1
LCM(1968,1973) = ( 1968 × 1973) / 1
LCM(1968,1973) = 3882864 / 1
LCM(1968,1973) = 3882864

Properties of LCM 1968 and 1973

(i) The LCM of 1973 and 1968 is associative

LCM of 1968 and 1973 = LCM of 1973 and 1968

Related Least Common Multiples of 1968

Related Least Common Multiples of 1973

Frequently Asked Questions on LCM of 1968 and 1973

1. What is the LCM of 1968 and 1973?

Answer: LCM of 1968 and 1973 is 3882864.

2. What are the Factors of 1968?

Answer: Factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. There are 20 integers that are factors of 1968. The greatest factor of 1968 is 1968.

3. 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.

4. How to Find the LCM of 1968 and 1973?

Answer:

Least Common Multiple of 1968 and 1973 = 3882864

Step 1: Find the prime factorization of 1968

1968 = 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 1973

1973 = 1973

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

LCM = 3882864 = 2 x 2 x 2 x 2 x 3 x 41 x 1973

Step 4: Therefore, the least common multiple of 1968 and 1973 is 3882864.