Least Common Multiple of 4612 and 4616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4612 and 4616 the smallest integer that is 5322248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4612 and 4616 is 5322248.

LCM(4612,4616) = 5322248

LCM of 4612 and 4616

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

LCM of:
and

Least Common Multiple of 4612 and 4616

LCM of 4612 and 4616 is 5322248

Least common multiple can be found by multiplying the highest exponent prime factors of 4612 and 4616. First we will calculate the prime factors of 4612 and 4616.

Prime Factorization of 4612


2 4612
2 2306
1153 1153
1

Prime factors of 4612 are 2,1153. Prime factorization of 4612 in exponential form is:

4612 = 22×11531

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4612 and 4616.

LCM(4612,4616) = 23×5771×11531
LCM(4612,4616) = 5322248

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1, 2, 4, 1153, 2306, 4612

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1, 2, 4, 8, 577, 1154, 2308, 4616

Least Common Multiple of 4612 and 4616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4612 and 4616, than apply into the LCM equation.

GCF(4612,4616) = 4
LCM(4612,4616) = ( 4612 × 4616) / 4
LCM(4612,4616) = 21288992 / 4
LCM(4612,4616) = 5322248

Properties of LCM 4612 and 4616

(i) The LCM of 4616 and 4612 is associative

LCM of 4612 and 4616 = LCM of 4616 and 4612

Related Least Common Multiples of 4612

Related Least Common Multiples of 4616

Frequently Asked Questions on LCM of 4612 and 4616

1. What is the LCM of 4612 and 4616?

Answer: LCM of 4612 and 4616 is 5322248.

2. What are the Factors of 4612?

Answer: Factors of 4612 are 1, 2, 4, 1153, 2306, 4612. There are 6 integers that are factors of 4612. The greatest factor of 4612 is 4612.

3. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

4. How to Find the LCM of 4612 and 4616?

Answer:

Least Common Multiple of 4612 and 4616 = 5322248

Step 1: Find the prime factorization of 4612

4612 = 2 x 2 x 1153

Step 2: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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

LCM = 5322248 = 2 x 2 x 2 x 577 x 1153

Step 4: Therefore, the least common multiple of 4612 and 4616 is 5322248.