Least Common Multiple of 1965 and 1967

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 1967 the smallest integer that is 3865155 that is divisible by both numbers.

Least Common Multiple (LCM) of 1965 and 1967 is 3865155.

LCM(1965,1967) = 3865155

LCM of 1965 and 1967

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

LCM of:
and

Least Common Multiple of 1965 and 1967

LCM of 1965 and 1967 is 3865155

Least common multiple can be found by multiplying the highest exponent prime factors of 1965 and 1967. First we will calculate the prime factors of 1965 and 1967.

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 1967


7 1967
281 281
1

Prime factors of 1967 are 7,281. Prime factorization of 1967 in exponential form is:

1967 = 71×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 1965 and 1967.

LCM(1965,1967) = 31×51×71×1311×2811
LCM(1965,1967) = 3865155

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 1967

List of positive integer factors of 1967 that divides 1967 without a remainder.

1, 7, 281, 1967

Least Common Multiple of 1965 and 1967 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 1967, than apply into the LCM equation.

GCF(1965,1967) = 1
LCM(1965,1967) = ( 1965 × 1967) / 1
LCM(1965,1967) = 3865155 / 1
LCM(1965,1967) = 3865155

Properties of LCM 1965 and 1967

(i) The LCM of 1967 and 1965 is associative

LCM of 1965 and 1967 = LCM of 1967 and 1965

Related Least Common Multiples of 1965

Related Least Common Multiples of 1967

Frequently Asked Questions on LCM of 1965 and 1967

1. What is the LCM of 1965 and 1967?

Answer: LCM of 1965 and 1967 is 3865155.

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 1967?

Answer: Factors of 1967 are 1, 7, 281, 1967. There are 4 integers that are factors of 1967. The greatest factor of 1967 is 1967.

4. How to Find the LCM of 1965 and 1967?

Answer:

Least Common Multiple of 1965 and 1967 = 3865155

Step 1: Find the prime factorization of 1965

1965 = 3 x 5 x 131

Step 2: Find the prime factorization of 1967

1967 = 7 x 281

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

LCM = 3865155 = 3 x 5 x 7 x 131 x 281

Step 4: Therefore, the least common multiple of 1965 and 1967 is 3865155.