Least Common Multiple of 4272 and 4277

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 4277 the smallest integer that is 18271344 that is divisible by both numbers.

Least Common Multiple (LCM) of 4272 and 4277 is 18271344.

LCM(4272,4277) = 18271344

LCM of 4272 and 4277

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

LCM of:
and

Least Common Multiple of 4272 and 4277

LCM of 4272 and 4277 is 18271344

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4277. First we will calculate the prime factors of 4272 and 4277.

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 4277


7 4277
13 611
47 47
1

Prime factors of 4277 are 7, 13,47. Prime factorization of 4277 in exponential form is:

4277 = 71×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4277.

LCM(4272,4277) = 24×31×71×131×471×891
LCM(4272,4277) = 18271344

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 4277

List of positive integer factors of 4277 that divides 4277 without a remainder.

1, 7, 13, 47, 91, 329, 611, 4277

Least Common Multiple of 4272 and 4277 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 4277, than apply into the LCM equation.

GCF(4272,4277) = 1
LCM(4272,4277) = ( 4272 × 4277) / 1
LCM(4272,4277) = 18271344 / 1
LCM(4272,4277) = 18271344

Properties of LCM 4272 and 4277

(i) The LCM of 4277 and 4272 is associative

LCM of 4272 and 4277 = LCM of 4277 and 4272

Related Least Common Multiples of 4272

Related Least Common Multiples of 4277

Frequently Asked Questions on LCM of 4272 and 4277

1. What is the LCM of 4272 and 4277?

Answer: LCM of 4272 and 4277 is 18271344.

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 4277?

Answer: Factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277. There are 8 integers that are factors of 4277. The greatest factor of 4277 is 4277.

4. How to Find the LCM of 4272 and 4277?

Answer:

Least Common Multiple of 4272 and 4277 = 18271344

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 4277

4277 = 7 x 13 x 47

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

LCM = 18271344 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 47 x 89

Step 4: Therefore, the least common multiple of 4272 and 4277 is 18271344.