Least Common Multiple of 4960 and 4966

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 4966 the smallest integer that is 12315680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4960 and 4966 is 12315680.

LCM(4960,4966) = 12315680

LCM of 4960 and 4966

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

LCM of:
and

Least Common Multiple of 4960 and 4966

LCM of 4960 and 4966 is 12315680

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4966. First we will calculate the prime factors of 4960 and 4966.

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 4966


2 4966
13 2483
191 191
1

Prime factors of 4966 are 2, 13,191. Prime factorization of 4966 in exponential form is:

4966 = 21×131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4966.

LCM(4960,4966) = 25×51×131×311×1911
LCM(4960,4966) = 12315680

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 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1, 2, 13, 26, 191, 382, 2483, 4966

Least Common Multiple of 4960 and 4966 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 4966, than apply into the LCM equation.

GCF(4960,4966) = 2
LCM(4960,4966) = ( 4960 × 4966) / 2
LCM(4960,4966) = 24631360 / 2
LCM(4960,4966) = 12315680

Properties of LCM 4960 and 4966

(i) The LCM of 4966 and 4960 is associative

LCM of 4960 and 4966 = LCM of 4966 and 4960

Related Least Common Multiples of 4960

Related Least Common Multiples of 4966

Frequently Asked Questions on LCM of 4960 and 4966

1. What is the LCM of 4960 and 4966?

Answer: LCM of 4960 and 4966 is 12315680.

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 4966?

Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.

4. How to Find the LCM of 4960 and 4966?

Answer:

Least Common Multiple of 4960 and 4966 = 12315680

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 4966

4966 = 2 x 13 x 191

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

LCM = 12315680 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 31 x 191

Step 4: Therefore, the least common multiple of 4960 and 4966 is 12315680.