Least Common Multiple of 1965 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 1965 and 1973 the smallest integer that is 3876945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1965 and 1973 is 3876945.

LCM(1965,1973) = 3876945

LCM of 1965 and 1973

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

LCM of:
and

Least Common Multiple of 1965 and 1973

LCM of 1965 and 1973 is 3876945

Least common multiple can be found by multiplying the highest exponent prime factors of 1965 and 1973. First we will calculate the prime factors of 1965 and 1973.

Prime Factorization of 1965


3 1965
5 655
131 131
1

Prime factors of 1965 are 3, 5,131. Prime factorization of 1965 in exponential form is:

1965 = 31×51×1311

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 1965 and 1973.

LCM(1965,1973) = 31×51×1311×19731
LCM(1965,1973) = 3876945

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1, 3, 5, 15, 131, 393, 655, 1965

Factors of 1973

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

1, 1973

Least Common Multiple of 1965 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 1965 and 1973, than apply into the LCM equation.

GCF(1965,1973) = 1
LCM(1965,1973) = ( 1965 × 1973) / 1
LCM(1965,1973) = 3876945 / 1
LCM(1965,1973) = 3876945

Properties of LCM 1965 and 1973

(i) The LCM of 1973 and 1965 is associative

LCM of 1965 and 1973 = LCM of 1973 and 1965

Related Least Common Multiples of 1965

Related Least Common Multiples of 1973

Frequently Asked Questions on LCM of 1965 and 1973

1. What is the LCM of 1965 and 1973?

Answer: LCM of 1965 and 1973 is 3876945.

2. What are the Factors of 1965?

Answer: Factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965. There are 8 integers that are factors of 1965. The greatest factor of 1965 is 1965.

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 1965 and 1973?

Answer:

Least Common Multiple of 1965 and 1973 = 3876945

Step 1: Find the prime factorization of 1965

1965 = 3 x 5 x 131

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 = 3876945 = 3 x 5 x 131 x 1973

Step 4: Therefore, the least common multiple of 1965 and 1973 is 3876945.