Least Common Multiple of 4672 and 4677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4672 and 4677 the smallest integer that is 21850944 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4677 is 21850944.

LCM(4672,4677) = 21850944

LCM of 4672 and 4677

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

LCM of:
and

Least Common Multiple of 4672 and 4677

LCM of 4672 and 4677 is 21850944

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4677. First we will calculate the prime factors of 4672 and 4677.

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

Prime Factorization of 4677


3 4677
1559 1559
1

Prime factors of 4677 are 3,1559. Prime factorization of 4677 in exponential form is:

4677 = 31×15591

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4677.

LCM(4672,4677) = 26×31×731×15591
LCM(4672,4677) = 21850944

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1, 3, 1559, 4677

Least Common Multiple of 4672 and 4677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4672 and 4677, than apply into the LCM equation.

GCF(4672,4677) = 1
LCM(4672,4677) = ( 4672 × 4677) / 1
LCM(4672,4677) = 21850944 / 1
LCM(4672,4677) = 21850944

Properties of LCM 4672 and 4677

(i) The LCM of 4677 and 4672 is associative

LCM of 4672 and 4677 = LCM of 4677 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4677

Frequently Asked Questions on LCM of 4672 and 4677

1. What is the LCM of 4672 and 4677?

Answer: LCM of 4672 and 4677 is 21850944.

2. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

3. What are the Factors of 4677?

Answer: Factors of 4677 are 1, 3, 1559, 4677. There are 4 integers that are factors of 4677. The greatest factor of 4677 is 4677.

4. How to Find the LCM of 4672 and 4677?

Answer:

Least Common Multiple of 4672 and 4677 = 21850944

Step 1: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 4677

4677 = 3 x 1559

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

LCM = 21850944 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 73 x 1559

Step 4: Therefore, the least common multiple of 4672 and 4677 is 21850944.