HowManyNumbers Logo

Least Common Multiple (LCM) of 40 and 166

The least common multiple (LCM) of 40 and 166 is 3320.

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 40 and 166?

First, calculate the GCD of 40 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 166 = 0 remainder 40
2 166 ÷ 40 = 4 remainder 6
3 40 ÷ 6 = 6 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 105735
40 and 271080
80 and 30240
127 and 243048
106 and 1447632

Try Calculating LCM of Other Numbers







Related Calculators