HowManyNumbers Logo

Least Common Multiple (LCM) of 162 and 118

The least common multiple (LCM) of 162 and 118 is 9558.

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 162 and 118?

First, calculate the GCD of 162 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 162 ÷ 118 = 1 remainder 44
2 118 ÷ 44 = 2 remainder 30
3 44 ÷ 30 = 1 remainder 14
4 30 ÷ 14 = 2 remainder 2
5 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 8613330
114 and 985586
138 and 16723046
161 and 15925599
25 and 180900

Try Calculating LCM of Other Numbers







Related Calculators