Least Common Multiple of 7964 and 7969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7964 and 7969 the smallest integer that is 63465116 that is divisible by both numbers.

Least Common Multiple (LCM) of 7964 and 7969 is 63465116.

LCM(7964,7969) = 63465116

LCM of 7964 and 7969

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

LCM of:
and

Least Common Multiple of 7964 and 7969

LCM of 7964 and 7969 is 63465116

Least common multiple can be found by multiplying the highest exponent prime factors of 7964 and 7969. First we will calculate the prime factors of 7964 and 7969.

Prime Factorization of 7964


2 7964
2 3982
11 1991
181 181
1

Prime factors of 7964 are 2, 11,181. Prime factorization of 7964 in exponential form is:

7964 = 22×111×1811

Prime Factorization of 7969


13 7969
613 613
1

Prime factors of 7969 are 13,613. Prime factorization of 7969 in exponential form is:

7969 = 131×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 7964 and 7969.

LCM(7964,7969) = 22×111×131×1811×6131
LCM(7964,7969) = 63465116

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964

Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1, 13, 613, 7969

Least Common Multiple of 7964 and 7969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7964 and 7969, than apply into the LCM equation.

GCF(7964,7969) = 1
LCM(7964,7969) = ( 7964 × 7969) / 1
LCM(7964,7969) = 63465116 / 1
LCM(7964,7969) = 63465116

Properties of LCM 7964 and 7969

(i) The LCM of 7969 and 7964 is associative

LCM of 7964 and 7969 = LCM of 7969 and 7964

Related Least Common Multiples of 7964

Related Least Common Multiples of 7969

Frequently Asked Questions on LCM of 7964 and 7969

1. What is the LCM of 7964 and 7969?

Answer: LCM of 7964 and 7969 is 63465116.

2. What are the Factors of 7964?

Answer: Factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964. There are 12 integers that are factors of 7964. The greatest factor of 7964 is 7964.

3. What are the Factors of 7969?

Answer: Factors of 7969 are 1, 13, 613, 7969. There are 4 integers that are factors of 7969. The greatest factor of 7969 is 7969.

4. How to Find the LCM of 7964 and 7969?

Answer:

Least Common Multiple of 7964 and 7969 = 63465116

Step 1: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

Step 2: Find the prime factorization of 7969

7969 = 13 x 613

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

LCM = 63465116 = 2 x 2 x 11 x 13 x 181 x 613

Step 4: Therefore, the least common multiple of 7964 and 7969 is 63465116.