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Least Common Multiple (LCM) of 45 and 162

The least common multiple (LCM) of 45 and 162 is 810.

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 45 and 162?

First, calculate the GCD of 45 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 162 = 0 remainder 45
2 162 ÷ 45 = 3 remainder 27
3 45 ÷ 27 = 1 remainder 18
4 27 ÷ 18 = 1 remainder 9
5 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 15311781
83 and 14712201
169 and 11419266
148 and 843108
85 and 14812580

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