HowManyNumbers Logo

Least Common Multiple (LCM) of 84 and 163

The least common multiple (LCM) of 84 and 163 is 13692.

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 84 and 163?

First, calculate the GCD of 84 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 163 = 0 remainder 84
2 163 ÷ 84 = 1 remainder 79
3 84 ÷ 79 = 1 remainder 5
4 79 ÷ 5 = 15 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 126630
75 and 1112775
107 and 12413268
40 and 25200
34 and 1001700

Try Calculating LCM of Other Numbers







Related Calculators