Least Common Multiple of 4661 and 4667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4661 and 4667 the smallest integer that is 21752887 that is divisible by both numbers.

Least Common Multiple (LCM) of 4661 and 4667 is 21752887.

LCM(4661,4667) = 21752887

LCM of 4661 and 4667

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

LCM of:
and

Least Common Multiple of 4661 and 4667

LCM of 4661 and 4667 is 21752887

Least common multiple can be found by multiplying the highest exponent prime factors of 4661 and 4667. First we will calculate the prime factors of 4661 and 4667.

Prime Factorization of 4661


59 4661
79 79
1

Prime factors of 4661 are 59,79. Prime factorization of 4661 in exponential form is:

4661 = 591×791

Prime Factorization of 4667


13 4667
359 359
1

Prime factors of 4667 are 13,359. Prime factorization of 4667 in exponential form is:

4667 = 131×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 4661 and 4667.

LCM(4661,4667) = 131×591×791×3591
LCM(4661,4667) = 21752887

Factors of 4661

List of positive integer factors of 4661 that divides 4661 without a remainder.

1, 59, 79, 4661

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1, 13, 359, 4667

Least Common Multiple of 4661 and 4667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4661 and 4667, than apply into the LCM equation.

GCF(4661,4667) = 1
LCM(4661,4667) = ( 4661 × 4667) / 1
LCM(4661,4667) = 21752887 / 1
LCM(4661,4667) = 21752887

Properties of LCM 4661 and 4667

(i) The LCM of 4667 and 4661 is associative

LCM of 4661 and 4667 = LCM of 4667 and 4661

Frequently Asked Questions on LCM of 4661 and 4667

1. What is the LCM of 4661 and 4667?

Answer: LCM of 4661 and 4667 is 21752887.

2. What are the Factors of 4661?

Answer: Factors of 4661 are 1, 59, 79, 4661. There are 4 integers that are factors of 4661. The greatest factor of 4661 is 4661.

3. What are the Factors of 4667?

Answer: Factors of 4667 are 1, 13, 359, 4667. There are 4 integers that are factors of 4667. The greatest factor of 4667 is 4667.

4. How to Find the LCM of 4661 and 4667?

Answer:

Least Common Multiple of 4661 and 4667 = 21752887

Step 1: Find the prime factorization of 4661

4661 = 59 x 79

Step 2: Find the prime factorization of 4667

4667 = 13 x 359

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

LCM = 21752887 = 13 x 59 x 79 x 359

Step 4: Therefore, the least common multiple of 4661 and 4667 is 21752887.