HowManyNumbers Logo

Least Common Multiple (LCM) of 71 and 182

The least common multiple (LCM) of 71 and 182 is 12922.

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 71 and 182?

First, calculate the GCD of 71 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 182 = 0 remainder 71
2 182 ÷ 71 = 2 remainder 40
3 71 ÷ 40 = 1 remainder 31
4 40 ÷ 31 = 1 remainder 9
5 31 ÷ 9 = 3 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 899879
58 and 20580
193 and 19036670
196 and 234508
75 and 19414550

Try Calculating LCM of Other Numbers







Related Calculators