Least Common Multiple of 4972 and 4978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4972 and 4978 the smallest integer that is 12375308 that is divisible by both numbers.

Least Common Multiple (LCM) of 4972 and 4978 is 12375308.

LCM(4972,4978) = 12375308

LCM of 4972 and 4978

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

LCM of:
and

Least Common Multiple of 4972 and 4978

LCM of 4972 and 4978 is 12375308

Least common multiple can be found by multiplying the highest exponent prime factors of 4972 and 4978. First we will calculate the prime factors of 4972 and 4978.

Prime Factorization of 4972


2 4972
2 2486
11 1243
113 113
1

Prime factors of 4972 are 2, 11,113. Prime factorization of 4972 in exponential form is:

4972 = 22×111×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4972 and 4978.

LCM(4972,4978) = 22×111×191×1131×1311
LCM(4972,4978) = 12375308

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

Factors of 4978

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

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

Least Common Multiple of 4972 and 4978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4972 and 4978, than apply into the LCM equation.

GCF(4972,4978) = 2
LCM(4972,4978) = ( 4972 × 4978) / 2
LCM(4972,4978) = 24750616 / 2
LCM(4972,4978) = 12375308

Properties of LCM 4972 and 4978

(i) The LCM of 4978 and 4972 is associative

LCM of 4972 and 4978 = LCM of 4978 and 4972

Related Least Common Multiples of 4972

Related Least Common Multiples of 4978

Frequently Asked Questions on LCM of 4972 and 4978

1. What is the LCM of 4972 and 4978?

Answer: LCM of 4972 and 4978 is 12375308.

2. What are the Factors of 4972?

Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.

3. 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.

4. How to Find the LCM of 4972 and 4978?

Answer:

Least Common Multiple of 4972 and 4978 = 12375308

Step 1: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

Step 2: Find the prime factorization of 4978

4978 = 2 x 19 x 131

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

LCM = 12375308 = 2 x 2 x 11 x 19 x 113 x 131

Step 4: Therefore, the least common multiple of 4972 and 4978 is 12375308.