Least Common Multiple of 78 and 59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 78 and 59 the smallest integer that is 4602 that is divisible by both numbers.

Least Common Multiple (LCM) of 78 and 59 is 4602.

LCM(78,59) = 4602

LCM of 78 and 59

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

LCM of:
and

Least Common Multiple of 78 and 59

LCM of 78 and 59 is 4602

Least common multiple can be found by multiplying the highest exponent prime factors of 78 and 59. First we will calculate the prime factors of 78 and 59.

Prime Factorization of 78


2 78
3 39
13 13
1

Prime factors of 78 are 2, 3,13. Prime factorization of 78 in exponential form is:

78 = 21×31×131

Prime Factorization of 59


59 59
1

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

59 = 591

Now multiplying the highest exponent prime factors to calculate the LCM of 78 and 59.

LCM(78,59) = 21×31×131×591
LCM(78,59) = 4602

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1, 59

Least Common Multiple of 78 and 59 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78 and 59, than apply into the LCM equation.

GCF(78,59) = 1
LCM(78,59) = ( 78 × 59) / 1
LCM(78,59) = 4602 / 1
LCM(78,59) = 4602

Properties of LCM 78 and 59

(i) The LCM of 59 and 78 is associative

LCM of 78 and 59 = LCM of 59 and 78

Related Least Common Multiples of 78

Related Least Common Multiples of 59

Frequently Asked Questions on LCM of 78 and 59

1. What is the LCM of 78 and 59?

Answer: LCM of 78 and 59 is 4602.

2. What are the Factors of 78?

Answer: Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. There are 8 integers that are factors of 78. The greatest factor of 78 is 78.

3. What are the Factors of 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

4. How to Find the LCM of 78 and 59?

Answer:

Least Common Multiple of 78 and 59 = 4602

Step 1: Find the prime factorization of 78

78 = 2 x 3 x 13

Step 2: Find the prime factorization of 59

59 = 59

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

LCM = 4602 = 2 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 78 and 59 is 4602.