Least Common Multiple of 4272 and 4276

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 4276 the smallest integer that is 4566768 that is divisible by both numbers.

Least Common Multiple (LCM) of 4272 and 4276 is 4566768.

LCM(4272,4276) = 4566768

LCM of 4272 and 4276

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

LCM of:
and

Least Common Multiple of 4272 and 4276

LCM of 4272 and 4276 is 4566768

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4276. First we will calculate the prime factors of 4272 and 4276.

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 4276


2 4276
2 2138
1069 1069
1

Prime factors of 4276 are 2,1069. Prime factorization of 4276 in exponential form is:

4276 = 22×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4276.

LCM(4272,4276) = 24×31×891×10691
LCM(4272,4276) = 4566768

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 4276

List of positive integer factors of 4276 that divides 4276 without a remainder.

1, 2, 4, 1069, 2138, 4276

Least Common Multiple of 4272 and 4276 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 4276, than apply into the LCM equation.

GCF(4272,4276) = 4
LCM(4272,4276) = ( 4272 × 4276) / 4
LCM(4272,4276) = 18267072 / 4
LCM(4272,4276) = 4566768

Properties of LCM 4272 and 4276

(i) The LCM of 4276 and 4272 is associative

LCM of 4272 and 4276 = LCM of 4276 and 4272

Related Least Common Multiples of 4272

Related Least Common Multiples of 4276

Frequently Asked Questions on LCM of 4272 and 4276

1. What is the LCM of 4272 and 4276?

Answer: LCM of 4272 and 4276 is 4566768.

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 4276?

Answer: Factors of 4276 are 1, 2, 4, 1069, 2138, 4276. There are 6 integers that are factors of 4276. The greatest factor of 4276 is 4276.

4. How to Find the LCM of 4272 and 4276?

Answer:

Least Common Multiple of 4272 and 4276 = 4566768

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 4276

4276 = 2 x 2 x 1069

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

LCM = 4566768 = 2 x 2 x 2 x 2 x 3 x 89 x 1069

Step 4: Therefore, the least common multiple of 4272 and 4276 is 4566768.