Least Common Multiple of 4272 and 4280

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 4280 the smallest integer that is 2285520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4272 and 4280 is 2285520.

LCM(4272,4280) = 2285520

LCM of 4272 and 4280

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

LCM of:
and

Least Common Multiple of 4272 and 4280

LCM of 4272 and 4280 is 2285520

Least common multiple can be found by multiplying the highest exponent prime factors of 4272 and 4280. First we will calculate the prime factors of 4272 and 4280.

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 4280


2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 4280 are 2, 5,107. Prime factorization of 4280 in exponential form is:

4280 = 23×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4272 and 4280.

LCM(4272,4280) = 24×31×51×891×1071
LCM(4272,4280) = 2285520

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 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280

Least Common Multiple of 4272 and 4280 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 4280, than apply into the LCM equation.

GCF(4272,4280) = 8
LCM(4272,4280) = ( 4272 × 4280) / 8
LCM(4272,4280) = 18284160 / 8
LCM(4272,4280) = 2285520

Properties of LCM 4272 and 4280

(i) The LCM of 4280 and 4272 is associative

LCM of 4272 and 4280 = LCM of 4280 and 4272

Related Least Common Multiples of 4272

Related Least Common Multiples of 4280

Frequently Asked Questions on LCM of 4272 and 4280

1. What is the LCM of 4272 and 4280?

Answer: LCM of 4272 and 4280 is 2285520.

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 4280?

Answer: Factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. There are 16 integers that are factors of 4280. The greatest factor of 4280 is 4280.

4. How to Find the LCM of 4272 and 4280?

Answer:

Least Common Multiple of 4272 and 4280 = 2285520

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 4280

4280 = 2 x 2 x 2 x 5 x 107

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

LCM = 2285520 = 2 x 2 x 2 x 2 x 3 x 5 x 89 x 107

Step 4: Therefore, the least common multiple of 4272 and 4280 is 2285520.