Least Common Multiple of 4207 and 4208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4207 and 4208 the smallest integer that is 17703056 that is divisible by both numbers.

Least Common Multiple (LCM) of 4207 and 4208 is 17703056.

LCM(4207,4208) = 17703056

LCM of 4207 and 4208

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

LCM of:
and

Least Common Multiple of 4207 and 4208

LCM of 4207 and 4208 is 17703056

Least common multiple can be found by multiplying the highest exponent prime factors of 4207 and 4208. First we will calculate the prime factors of 4207 and 4208.

Prime Factorization of 4207


7 4207
601 601
1

Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:

4207 = 71×6011

Prime Factorization of 4208


2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:

4208 = 24×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4207 and 4208.

LCM(4207,4208) = 24×71×2631×6011
LCM(4207,4208) = 17703056

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1, 7, 601, 4207

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

Least Common Multiple of 4207 and 4208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4207 and 4208, than apply into the LCM equation.

GCF(4207,4208) = 1
LCM(4207,4208) = ( 4207 × 4208) / 1
LCM(4207,4208) = 17703056 / 1
LCM(4207,4208) = 17703056

Properties of LCM 4207 and 4208

(i) The LCM of 4208 and 4207 is associative

LCM of 4207 and 4208 = LCM of 4208 and 4207

Related Least Common Multiples of 4207

Related Least Common Multiples of 4208

Frequently Asked Questions on LCM of 4207 and 4208

1. What is the LCM of 4207 and 4208?

Answer: LCM of 4207 and 4208 is 17703056.

2. What are the Factors of 4207?

Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.

3. What are the Factors of 4208?

Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.

4. How to Find the LCM of 4207 and 4208?

Answer:

Least Common Multiple of 4207 and 4208 = 17703056

Step 1: Find the prime factorization of 4207

4207 = 7 x 601

Step 2: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

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

LCM = 17703056 = 2 x 2 x 2 x 2 x 7 x 263 x 601

Step 4: Therefore, the least common multiple of 4207 and 4208 is 17703056.