Least Common Multiple of 1964 and 1969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1964 and 1969 the smallest integer that is 3867116 that is divisible by both numbers.

Least Common Multiple (LCM) of 1964 and 1969 is 3867116.

LCM(1964,1969) = 3867116

LCM of 1964 and 1969

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

LCM of:
and

Least Common Multiple of 1964 and 1969

LCM of 1964 and 1969 is 3867116

Least common multiple can be found by multiplying the highest exponent prime factors of 1964 and 1969. First we will calculate the prime factors of 1964 and 1969.

Prime Factorization of 1964


2 1964
2 982
491 491
1

Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:

1964 = 22×4911

Prime Factorization of 1969


11 1969
179 179
1

Prime factors of 1969 are 11,179. Prime factorization of 1969 in exponential form is:

1969 = 111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1964 and 1969.

LCM(1964,1969) = 22×111×1791×4911
LCM(1964,1969) = 3867116

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1, 2, 4, 491, 982, 1964

Factors of 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1, 11, 179, 1969

Least Common Multiple of 1964 and 1969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1964 and 1969, than apply into the LCM equation.

GCF(1964,1969) = 1
LCM(1964,1969) = ( 1964 × 1969) / 1
LCM(1964,1969) = 3867116 / 1
LCM(1964,1969) = 3867116

Properties of LCM 1964 and 1969

(i) The LCM of 1969 and 1964 is associative

LCM of 1964 and 1969 = LCM of 1969 and 1964

Related Least Common Multiples of 1964

Related Least Common Multiples of 1969

Frequently Asked Questions on LCM of 1964 and 1969

1. What is the LCM of 1964 and 1969?

Answer: LCM of 1964 and 1969 is 3867116.

2. What are the Factors of 1964?

Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.

3. What are the Factors of 1969?

Answer: Factors of 1969 are 1, 11, 179, 1969. There are 4 integers that are factors of 1969. The greatest factor of 1969 is 1969.

4. How to Find the LCM of 1964 and 1969?

Answer:

Least Common Multiple of 1964 and 1969 = 3867116

Step 1: Find the prime factorization of 1964

1964 = 2 x 2 x 491

Step 2: Find the prime factorization of 1969

1969 = 11 x 179

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

LCM = 3867116 = 2 x 2 x 11 x 179 x 491

Step 4: Therefore, the least common multiple of 1964 and 1969 is 3867116.