Least Common Multiple of 4372 and 4378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4372 and 4378 the smallest integer that is 9570308 that is divisible by both numbers.

Least Common Multiple (LCM) of 4372 and 4378 is 9570308.

LCM(4372,4378) = 9570308

LCM of 4372 and 4378

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

LCM of:
and

Least Common Multiple of 4372 and 4378

LCM of 4372 and 4378 is 9570308

Least common multiple can be found by multiplying the highest exponent prime factors of 4372 and 4378. First we will calculate the prime factors of 4372 and 4378.

Prime Factorization of 4372


2 4372
2 2186
1093 1093
1

Prime factors of 4372 are 2,1093. Prime factorization of 4372 in exponential form is:

4372 = 22×10931

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2, 11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4372 and 4378.

LCM(4372,4378) = 22×111×1991×10931
LCM(4372,4378) = 9570308

Factors of 4372

List of positive integer factors of 4372 that divides 4372 without a remainder.

1, 2, 4, 1093, 2186, 4372

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1, 2, 11, 22, 199, 398, 2189, 4378

Least Common Multiple of 4372 and 4378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4372 and 4378, than apply into the LCM equation.

GCF(4372,4378) = 2
LCM(4372,4378) = ( 4372 × 4378) / 2
LCM(4372,4378) = 19140616 / 2
LCM(4372,4378) = 9570308

Properties of LCM 4372 and 4378

(i) The LCM of 4378 and 4372 is associative

LCM of 4372 and 4378 = LCM of 4378 and 4372

Related Least Common Multiples of 4372

Related Least Common Multiples of 4378

Frequently Asked Questions on LCM of 4372 and 4378

1. What is the LCM of 4372 and 4378?

Answer: LCM of 4372 and 4378 is 9570308.

2. What are the Factors of 4372?

Answer: Factors of 4372 are 1, 2, 4, 1093, 2186, 4372. There are 6 integers that are factors of 4372. The greatest factor of 4372 is 4372.

3. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

4. How to Find the LCM of 4372 and 4378?

Answer:

Least Common Multiple of 4372 and 4378 = 9570308

Step 1: Find the prime factorization of 4372

4372 = 2 x 2 x 1093

Step 2: Find the prime factorization of 4378

4378 = 2 x 11 x 199

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

LCM = 9570308 = 2 x 2 x 11 x 199 x 1093

Step 4: Therefore, the least common multiple of 4372 and 4378 is 9570308.