Least Common Multiple of 4272 and 4278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4272 and 4278 the smallest integer that is 3045936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4272 and 4278 is 3045936.

LCM(4272,4278) = 3045936

LCM of 4272 and 4278

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

LCM of:
and

Least Common Multiple of 4272 and 4278

LCM of 4272 and 4278 is 3045936

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4278. First we will calculate the prime factors of 4272 and 4278.

Prime Factorization of 4272


2 4272
2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 4272 are 2, 3,89. Prime factorization of 4272 in exponential form is:

4272 = 24×31×891

Prime Factorization of 4278


2 4278
3 2139
23 713
31 31
1

Prime factors of 4278 are 2, 3, 23,31. Prime factorization of 4278 in exponential form is:

4278 = 21×31×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4278.

LCM(4272,4278) = 24×31×231×311×891
LCM(4272,4278) = 3045936

Factors of 4272

List of positive integer factors of 4272 that divides 4272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272

Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278

Least Common Multiple of 4272 and 4278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4272 and 4278, than apply into the LCM equation.

GCF(4272,4278) = 6
LCM(4272,4278) = ( 4272 × 4278) / 6
LCM(4272,4278) = 18275616 / 6
LCM(4272,4278) = 3045936

Properties of LCM 4272 and 4278

(i) The LCM of 4278 and 4272 is associative

LCM of 4272 and 4278 = LCM of 4278 and 4272

Related Least Common Multiples of 4272

Related Least Common Multiples of 4278

Frequently Asked Questions on LCM of 4272 and 4278

1. What is the LCM of 4272 and 4278?

Answer: LCM of 4272 and 4278 is 3045936.

2. What are the Factors of 4272?

Answer: Factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272. There are 20 integers that are factors of 4272. The greatest factor of 4272 is 4272.

3. What are the Factors of 4278?

Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.

4. How to Find the LCM of 4272 and 4278?

Answer:

Least Common Multiple of 4272 and 4278 = 3045936

Step 1: Find the prime factorization of 4272

4272 = 2 x 2 x 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 4278

4278 = 2 x 3 x 23 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 = 3045936 = 2 x 2 x 2 x 2 x 3 x 23 x 31 x 89

Step 4: Therefore, the least common multiple of 4272 and 4278 is 3045936.