Least Common Multiple of 612 and 620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 612 and 620 the smallest integer that is 94860 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 620 is 94860.

LCM(612,620) = 94860

LCM of 612 and 620

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

LCM of:
and

Least Common Multiple of 612 and 620

LCM of 612 and 620 is 94860

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 620. First we will calculate the prime factors of 612 and 620.

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 620.

LCM(612,620) = 22×32×51×171×311
LCM(612,620) = 94860

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 612 and 620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 612 and 620, than apply into the LCM equation.

GCF(612,620) = 4
LCM(612,620) = ( 612 × 620) / 4
LCM(612,620) = 379440 / 4
LCM(612,620) = 94860

Properties of LCM 612 and 620

(i) The LCM of 620 and 612 is associative

LCM of 612 and 620 = LCM of 620 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 612 and 620

1. What is the LCM of 612 and 620?

Answer: LCM of 612 and 620 is 94860.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

3. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 612 and 620?

Answer:

Least Common Multiple of 612 and 620 = 94860

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 94860 = 2 x 2 x 3 x 3 x 5 x 17 x 31

Step 4: Therefore, the least common multiple of 612 and 620 is 94860.