Least Common Multiple of 4269 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 4269 and 4272 the smallest integer that is 6079056 that is divisible by both numbers.

Least Common Multiple (LCM) of 4269 and 4272 is 6079056.

LCM(4269,4272) = 6079056

LCM of 4269 and 4272

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

LCM of:
and

Least Common Multiple of 4269 and 4272

LCM of 4269 and 4272 is 6079056

Least common multiple can be found by multiplying the highest exponent prime factors of 4269 and 4272. First we will calculate the prime factors of 4269 and 4272.

Prime Factorization of 4269


3 4269
1423 1423
1

Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:

4269 = 31×14231

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 4269 and 4272.

LCM(4269,4272) = 24×31×891×14231
LCM(4269,4272) = 6079056

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1, 3, 1423, 4269

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 4269 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 4269 and 4272, than apply into the LCM equation.

GCF(4269,4272) = 3
LCM(4269,4272) = ( 4269 × 4272) / 3
LCM(4269,4272) = 18237168 / 3
LCM(4269,4272) = 6079056

Properties of LCM 4269 and 4272

(i) The LCM of 4272 and 4269 is associative

LCM of 4269 and 4272 = LCM of 4272 and 4269

Related Least Common Multiples of 4269

Related Least Common Multiples of 4272

Frequently Asked Questions on LCM of 4269 and 4272

1. What is the LCM of 4269 and 4272?

Answer: LCM of 4269 and 4272 is 6079056.

2. What are the Factors of 4269?

Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.

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 4269 and 4272?

Answer:

Least Common Multiple of 4269 and 4272 = 6079056

Step 1: Find the prime factorization of 4269

4269 = 3 x 1423

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 = 6079056 = 2 x 2 x 2 x 2 x 3 x 89 x 1423

Step 4: Therefore, the least common multiple of 4269 and 4272 is 6079056.