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Least Common Multiple (LCM) of 52 and 162

The least common multiple (LCM) of 52 and 162 is 4212.

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 52 and 162?

First, calculate the GCD of 52 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 162 = 0 remainder 52
2 162 ÷ 52 = 3 remainder 6
3 52 ÷ 6 = 8 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 12412276
163 and 7412062
119 and 647616
144 and 253600
10 and 23230

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