Least Common Multiple of 4268 and 4272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4268 and 4272 the smallest integer that is 4558224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4268 and 4272 is 4558224.

LCM(4268,4272) = 4558224

LCM of 4268 and 4272

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

LCM of:
and

Least Common Multiple of 4268 and 4272

LCM of 4268 and 4272 is 4558224

Least common multiple can be found by multiplying the highest exponent prime factors of 4268 and 4272. First we will calculate the prime factors of 4268 and 4272.

Prime Factorization of 4268


2 4268
2 2134
11 1067
97 97
1

Prime factors of 4268 are 2, 11,97. Prime factorization of 4268 in exponential form is:

4268 = 22×111×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4268 and 4272.

LCM(4268,4272) = 24×31×111×891×971
LCM(4268,4272) = 4558224

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268

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

Least Common Multiple of 4268 and 4272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4268 and 4272, than apply into the LCM equation.

GCF(4268,4272) = 4
LCM(4268,4272) = ( 4268 × 4272) / 4
LCM(4268,4272) = 18232896 / 4
LCM(4268,4272) = 4558224

Properties of LCM 4268 and 4272

(i) The LCM of 4272 and 4268 is associative

LCM of 4268 and 4272 = LCM of 4272 and 4268

Related Least Common Multiples of 4268

Related Least Common Multiples of 4272

Frequently Asked Questions on LCM of 4268 and 4272

1. What is the LCM of 4268 and 4272?

Answer: LCM of 4268 and 4272 is 4558224.

2. What are the Factors of 4268?

Answer: Factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268. There are 12 integers that are factors of 4268. The greatest factor of 4268 is 4268.

3. 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.

4. How to Find the LCM of 4268 and 4272?

Answer:

Least Common Multiple of 4268 and 4272 = 4558224

Step 1: Find the prime factorization of 4268

4268 = 2 x 2 x 11 x 97

Step 2: Find the prime factorization of 4272

4272 = 2 x 2 x 2 x 2 x 3 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 = 4558224 = 2 x 2 x 2 x 2 x 3 x 11 x 89 x 97

Step 4: Therefore, the least common multiple of 4268 and 4272 is 4558224.