Least Common Multiple of 4978 and 4984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4978 and 4984 the smallest integer that is 12405176 that is divisible by both numbers.

Least Common Multiple (LCM) of 4978 and 4984 is 12405176.

LCM(4978,4984) = 12405176

LCM of 4978 and 4984

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

LCM of:
and

Least Common Multiple of 4978 and 4984

LCM of 4978 and 4984 is 12405176

Least common multiple can be found by multiplying the highest exponent prime factors of 4978 and 4984. First we will calculate the prime factors of 4978 and 4984.

Prime Factorization of 4978


2 4978
19 2489
131 131
1

Prime factors of 4978 are 2, 19,131. Prime factorization of 4978 in exponential form is:

4978 = 21×191×1311

Prime Factorization of 4984


2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 4984 are 2, 7,89. Prime factorization of 4984 in exponential form is:

4984 = 23×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4978 and 4984.

LCM(4978,4984) = 23×71×191×891×1311
LCM(4978,4984) = 12405176

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1, 2, 19, 38, 131, 262, 2489, 4978

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984

Least Common Multiple of 4978 and 4984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4978 and 4984, than apply into the LCM equation.

GCF(4978,4984) = 2
LCM(4978,4984) = ( 4978 × 4984) / 2
LCM(4978,4984) = 24810352 / 2
LCM(4978,4984) = 12405176

Properties of LCM 4978 and 4984

(i) The LCM of 4984 and 4978 is associative

LCM of 4978 and 4984 = LCM of 4984 and 4978

Related Least Common Multiples of 4978

Related Least Common Multiples of 4984

Frequently Asked Questions on LCM of 4978 and 4984

1. What is the LCM of 4978 and 4984?

Answer: LCM of 4978 and 4984 is 12405176.

2. What are the Factors of 4978?

Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.

3. What are the Factors of 4984?

Answer: Factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984. There are 16 integers that are factors of 4984. The greatest factor of 4984 is 4984.

4. How to Find the LCM of 4978 and 4984?

Answer:

Least Common Multiple of 4978 and 4984 = 12405176

Step 1: Find the prime factorization of 4978

4978 = 2 x 19 x 131

Step 2: Find the prime factorization of 4984

4984 = 2 x 2 x 2 x 7 x 89

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

LCM = 12405176 = 2 x 2 x 2 x 7 x 19 x 89 x 131

Step 4: Therefore, the least common multiple of 4978 and 4984 is 12405176.