Least Common Multiple of 4960 and 4967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4960 and 4967 the smallest integer that is 24636320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4960 and 4967 is 24636320.

LCM(4960,4967) = 24636320

LCM of 4960 and 4967

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

LCM of:
and

Least Common Multiple of 4960 and 4967

LCM of 4960 and 4967 is 24636320

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4967. First we will calculate the prime factors of 4960 and 4967.

Prime Factorization of 4960


2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 4960 are 2, 5,31. Prime factorization of 4960 in exponential form is:

4960 = 25×51×311

Prime Factorization of 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4967.

LCM(4960,4967) = 25×51×311×49671
LCM(4960,4967) = 24636320

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1, 4967

Least Common Multiple of 4960 and 4967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4960 and 4967, than apply into the LCM equation.

GCF(4960,4967) = 1
LCM(4960,4967) = ( 4960 × 4967) / 1
LCM(4960,4967) = 24636320 / 1
LCM(4960,4967) = 24636320

Properties of LCM 4960 and 4967

(i) The LCM of 4967 and 4960 is associative

LCM of 4960 and 4967 = LCM of 4967 and 4960

Related Least Common Multiples of 4960

Related Least Common Multiples of 4967

Frequently Asked Questions on LCM of 4960 and 4967

1. What is the LCM of 4960 and 4967?

Answer: LCM of 4960 and 4967 is 24636320.

2. What are the Factors of 4960?

Answer: Factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960. There are 24 integers that are factors of 4960. The greatest factor of 4960 is 4960.

3. What are the Factors of 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

4. How to Find the LCM of 4960 and 4967?

Answer:

Least Common Multiple of 4960 and 4967 = 24636320

Step 1: Find the prime factorization of 4960

4960 = 2 x 2 x 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 4967

4967 = 4967

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

LCM = 24636320 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 4967

Step 4: Therefore, the least common multiple of 4960 and 4967 is 24636320.