HowManyNumbers Logo

Least Common Multiple (LCM) of 93 and 164

The least common multiple (LCM) of 93 and 164 is 15252.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 93 and 164?

First, calculate the GCD of 93 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 164 = 0 remainder 93
2 164 ÷ 93 = 1 remainder 71
3 93 ÷ 71 = 1 remainder 22
4 71 ÷ 22 = 3 remainder 5
5 22 ÷ 5 = 4 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 1889024
12 and 1091308
42 and 1998358
19 and 23437
14 and 91182

Try Calculating LCM of Other Numbers







Related Calculators