Least Common Multiple of 1963 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 1963 and 1969 the smallest integer that is 3865147 that is divisible by both numbers.

Least Common Multiple (LCM) of 1963 and 1969 is 3865147.

LCM(1963,1969) = 3865147

LCM of 1963 and 1969

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

LCM of:
and

Least Common Multiple of 1963 and 1969

LCM of 1963 and 1969 is 3865147

Least common multiple can be found by multiplying the highest exponent prime factors of 1963 and 1969. First we will calculate the prime factors of 1963 and 1969.

Prime Factorization of 1963


13 1963
151 151
1

Prime factors of 1963 are 13,151. Prime factorization of 1963 in exponential form is:

1963 = 131×1511

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 1963 and 1969.

LCM(1963,1969) = 111×131×1511×1791
LCM(1963,1969) = 3865147

Factors of 1963

List of positive integer factors of 1963 that divides 1963 without a remainder.

1, 13, 151, 1963

Factors of 1969

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

1, 11, 179, 1969

Least Common Multiple of 1963 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 1963 and 1969, than apply into the LCM equation.

GCF(1963,1969) = 1
LCM(1963,1969) = ( 1963 × 1969) / 1
LCM(1963,1969) = 3865147 / 1
LCM(1963,1969) = 3865147

Properties of LCM 1963 and 1969

(i) The LCM of 1969 and 1963 is associative

LCM of 1963 and 1969 = LCM of 1969 and 1963

Related Least Common Multiples of 1963

Related Least Common Multiples of 1969

Frequently Asked Questions on LCM of 1963 and 1969

1. What is the LCM of 1963 and 1969?

Answer: LCM of 1963 and 1969 is 3865147.

2. What are the Factors of 1963?

Answer: Factors of 1963 are 1, 13, 151, 1963. There are 4 integers that are factors of 1963. The greatest factor of 1963 is 1963.

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 1963 and 1969?

Answer:

Least Common Multiple of 1963 and 1969 = 3865147

Step 1: Find the prime factorization of 1963

1963 = 13 x 151

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 = 3865147 = 11 x 13 x 151 x 179

Step 4: Therefore, the least common multiple of 1963 and 1969 is 3865147.