Least Common Multiple of 73 and 76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 73 and 76 the smallest integer that is 5548 that is divisible by both numbers.

Least Common Multiple (LCM) of 73 and 76 is 5548.

LCM(73,76) = 5548

LCM of 73 and 76

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

LCM of:
and

Least Common Multiple of 73 and 76

LCM of 73 and 76 is 5548

Least common multiple can be found by multiplying the highest exponent prime factors of 73 and 76. First we will calculate the prime factors of 73 and 76.

Prime Factorization of 73


73 73
1

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

73 = 731

Prime Factorization of 76


2 76
2 38
19 19
1

Prime factors of 76 are 2,19. Prime factorization of 76 in exponential form is:

76 = 22×191

Now multiplying the highest exponent prime factors to calculate the LCM of 73 and 76.

LCM(73,76) = 22×191×731
LCM(73,76) = 5548

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1, 73

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Least Common Multiple of 73 and 76 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 76, than apply into the LCM equation.

GCF(73,76) = 1
LCM(73,76) = ( 73 × 76) / 1
LCM(73,76) = 5548 / 1
LCM(73,76) = 5548

Properties of LCM 73 and 76

(i) The LCM of 76 and 73 is associative

LCM of 73 and 76 = LCM of 76 and 73

Related Least Common Multiples of 73

Related Least Common Multiples of 76

Frequently Asked Questions on LCM of 73 and 76

1. What is the LCM of 73 and 76?

Answer: LCM of 73 and 76 is 5548.

2. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

3. What are the Factors of 76?

Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.

4. How to Find the LCM of 73 and 76?

Answer:

Least Common Multiple of 73 and 76 = 5548

Step 1: Find the prime factorization of 73

73 = 73

Step 2: Find the prime factorization of 76

76 = 2 x 2 x 19

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

LCM = 5548 = 2 x 2 x 19 x 73

Step 4: Therefore, the least common multiple of 73 and 76 is 5548.