Least Common Multiple of 4975 and 4980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4975 and 4980 the smallest integer that is 4955100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4975 and 4980 is 4955100.

LCM(4975,4980) = 4955100

LCM of 4975 and 4980

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

LCM of:
and

Least Common Multiple of 4975 and 4980

LCM of 4975 and 4980 is 4955100

Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4980. First we will calculate the prime factors of 4975 and 4980.

Prime Factorization of 4975


5 4975
5 995
199 199
1

Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:

4975 = 52×1991

Prime Factorization of 4980


2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 4980 are 2, 3, 5,83. Prime factorization of 4980 in exponential form is:

4980 = 22×31×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4975 and 4980.

LCM(4975,4980) = 22×31×52×831×1991
LCM(4975,4980) = 4955100

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1, 5, 25, 199, 995, 4975

Factors of 4980

List of positive integer factors of 4980 that divides 4980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980

Least Common Multiple of 4975 and 4980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4975 and 4980, than apply into the LCM equation.

GCF(4975,4980) = 5
LCM(4975,4980) = ( 4975 × 4980) / 5
LCM(4975,4980) = 24775500 / 5
LCM(4975,4980) = 4955100

Properties of LCM 4975 and 4980

(i) The LCM of 4980 and 4975 is associative

LCM of 4975 and 4980 = LCM of 4980 and 4975

Related Least Common Multiples of 4975

Related Least Common Multiples of 4980

Frequently Asked Questions on LCM of 4975 and 4980

1. What is the LCM of 4975 and 4980?

Answer: LCM of 4975 and 4980 is 4955100.

2. What are the Factors of 4975?

Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.

3. What are the Factors of 4980?

Answer: Factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980. There are 24 integers that are factors of 4980. The greatest factor of 4980 is 4980.

4. How to Find the LCM of 4975 and 4980?

Answer:

Least Common Multiple of 4975 and 4980 = 4955100

Step 1: Find the prime factorization of 4975

4975 = 5 x 5 x 199

Step 2: Find the prime factorization of 4980

4980 = 2 x 2 x 3 x 5 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 = 4955100 = 2 x 2 x 3 x 5 x 5 x 83 x 199

Step 4: Therefore, the least common multiple of 4975 and 4980 is 4955100.