Least Common Multiple of 4952 and 4960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4952 and 4960 the smallest integer that is 3070240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4952 and 4960 is 3070240.

LCM(4952,4960) = 3070240

LCM of 4952 and 4960

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

LCM of:
and

Least Common Multiple of 4952 and 4960

LCM of 4952 and 4960 is 3070240

Least common multiple can be found by multiplying the highest exponent prime factors of 4952 and 4960. First we will calculate the prime factors of 4952 and 4960.

Prime Factorization of 4952


2 4952
2 2476
2 1238
619 619
1

Prime factors of 4952 are 2,619. Prime factorization of 4952 in exponential form is:

4952 = 23×6191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4952 and 4960.

LCM(4952,4960) = 25×51×311×6191
LCM(4952,4960) = 3070240

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1, 2, 4, 8, 619, 1238, 2476, 4952

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

Least Common Multiple of 4952 and 4960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4952 and 4960, than apply into the LCM equation.

GCF(4952,4960) = 8
LCM(4952,4960) = ( 4952 × 4960) / 8
LCM(4952,4960) = 24561920 / 8
LCM(4952,4960) = 3070240

Properties of LCM 4952 and 4960

(i) The LCM of 4960 and 4952 is associative

LCM of 4952 and 4960 = LCM of 4960 and 4952

Related Least Common Multiples of 4952

Related Least Common Multiples of 4960

Frequently Asked Questions on LCM of 4952 and 4960

1. What is the LCM of 4952 and 4960?

Answer: LCM of 4952 and 4960 is 3070240.

2. What are the Factors of 4952?

Answer: Factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952. There are 8 integers that are factors of 4952. The greatest factor of 4952 is 4952.

3. 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.

4. How to Find the LCM of 4952 and 4960?

Answer:

Least Common Multiple of 4952 and 4960 = 3070240

Step 1: Find the prime factorization of 4952

4952 = 2 x 2 x 2 x 619

Step 2: Find the prime factorization of 4960

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

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

LCM = 3070240 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 619

Step 4: Therefore, the least common multiple of 4952 and 4960 is 3070240.