Least Common Multiple of 4960 and 4965

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 4965 the smallest integer that is 4925280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4960 and 4965 is 4925280.

LCM(4960,4965) = 4925280

LCM of 4960 and 4965

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

LCM of:
and

Least Common Multiple of 4960 and 4965

LCM of 4960 and 4965 is 4925280

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4965. First we will calculate the prime factors of 4960 and 4965.

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 4965


3 4965
5 1655
331 331
1

Prime factors of 4965 are 3, 5,331. Prime factorization of 4965 in exponential form is:

4965 = 31×51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4965.

LCM(4960,4965) = 25×31×51×311×3311
LCM(4960,4965) = 4925280

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 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1, 3, 5, 15, 331, 993, 1655, 4965

Least Common Multiple of 4960 and 4965 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 4965, than apply into the LCM equation.

GCF(4960,4965) = 5
LCM(4960,4965) = ( 4960 × 4965) / 5
LCM(4960,4965) = 24626400 / 5
LCM(4960,4965) = 4925280

Properties of LCM 4960 and 4965

(i) The LCM of 4965 and 4960 is associative

LCM of 4960 and 4965 = LCM of 4965 and 4960

Related Least Common Multiples of 4960

Related Least Common Multiples of 4965

Frequently Asked Questions on LCM of 4960 and 4965

1. What is the LCM of 4960 and 4965?

Answer: LCM of 4960 and 4965 is 4925280.

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 4965?

Answer: Factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965. There are 8 integers that are factors of 4965. The greatest factor of 4965 is 4965.

4. How to Find the LCM of 4960 and 4965?

Answer:

Least Common Multiple of 4960 and 4965 = 4925280

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 4965

4965 = 3 x 5 x 331

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

LCM = 4925280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 331

Step 4: Therefore, the least common multiple of 4960 and 4965 is 4925280.