Least Common Multiple of 7964 and 7967

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 7967 the smallest integer that is 63449188 that is divisible by both numbers.

Least Common Multiple (LCM) of 7964 and 7967 is 63449188.

LCM(7964,7967) = 63449188

LCM of 7964 and 7967

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

LCM of:
and

Least Common Multiple of 7964 and 7967

LCM of 7964 and 7967 is 63449188

Least common multiple can be found by multiplying the highest exponent prime factors of 7964 and 7967. First we will calculate the prime factors of 7964 and 7967.

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 7967


31 7967
257 257
1

Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:

7967 = 311×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7964 and 7967.

LCM(7964,7967) = 22×111×311×1811×2571
LCM(7964,7967) = 63449188

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 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1, 31, 257, 7967

Least Common Multiple of 7964 and 7967 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 7967, than apply into the LCM equation.

GCF(7964,7967) = 1
LCM(7964,7967) = ( 7964 × 7967) / 1
LCM(7964,7967) = 63449188 / 1
LCM(7964,7967) = 63449188

Properties of LCM 7964 and 7967

(i) The LCM of 7967 and 7964 is associative

LCM of 7964 and 7967 = LCM of 7967 and 7964

Related Least Common Multiples of 7964

Related Least Common Multiples of 7967

Frequently Asked Questions on LCM of 7964 and 7967

1. What is the LCM of 7964 and 7967?

Answer: LCM of 7964 and 7967 is 63449188.

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 7967?

Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.

4. How to Find the LCM of 7964 and 7967?

Answer:

Least Common Multiple of 7964 and 7967 = 63449188

Step 1: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

Step 2: Find the prime factorization of 7967

7967 = 31 x 257

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

LCM = 63449188 = 2 x 2 x 11 x 31 x 181 x 257

Step 4: Therefore, the least common multiple of 7964 and 7967 is 63449188.