Least Common Multiple of 7964 and 7968

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 7968 the smallest integer that is 15864288 that is divisible by both numbers.

Least Common Multiple (LCM) of 7964 and 7968 is 15864288.

LCM(7964,7968) = 15864288

LCM of 7964 and 7968

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

LCM of:
and

Least Common Multiple of 7964 and 7968

LCM of 7964 and 7968 is 15864288

Least common multiple can be found by multiplying the highest exponent prime factors of 7964 and 7968. First we will calculate the prime factors of 7964 and 7968.

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 7968


2 7968
2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 7968 are 2, 3,83. Prime factorization of 7968 in exponential form is:

7968 = 25×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7964 and 7968.

LCM(7964,7968) = 25×31×111×831×1811
LCM(7964,7968) = 15864288

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 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968

Least Common Multiple of 7964 and 7968 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 7968, than apply into the LCM equation.

GCF(7964,7968) = 4
LCM(7964,7968) = ( 7964 × 7968) / 4
LCM(7964,7968) = 63457152 / 4
LCM(7964,7968) = 15864288

Properties of LCM 7964 and 7968

(i) The LCM of 7968 and 7964 is associative

LCM of 7964 and 7968 = LCM of 7968 and 7964

Related Least Common Multiples of 7964

Related Least Common Multiples of 7968

Frequently Asked Questions on LCM of 7964 and 7968

1. What is the LCM of 7964 and 7968?

Answer: LCM of 7964 and 7968 is 15864288.

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 7968?

Answer: Factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968. There are 24 integers that are factors of 7968. The greatest factor of 7968 is 7968.

4. How to Find the LCM of 7964 and 7968?

Answer:

Least Common Multiple of 7964 and 7968 = 15864288

Step 1: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

Step 2: Find the prime factorization of 7968

7968 = 2 x 2 x 2 x 2 x 2 x 3 x 83

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

LCM = 15864288 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 83 x 181

Step 4: Therefore, the least common multiple of 7964 and 7968 is 15864288.