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Least Common Multiple (LCM) of 162 and 92

The least common multiple (LCM) of 162 and 92 is 7452.

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 92?

First, calculate the GCD of 162 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 162 ÷ 92 = 1 remainder 70
2 92 ÷ 70 = 1 remainder 22
3 70 ÷ 22 = 3 remainder 4
4 22 ÷ 4 = 5 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 12712700
172 and 1325676
167 and 16227054
65 and 16410660
168 and 1164872

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