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Least Common Multiple (LCM) of 167 and 67

The least common multiple (LCM) of 167 and 67 is 11189.

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 167 and 67?

First, calculate the GCD of 167 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 167 ÷ 67 = 2 remainder 33
2 67 ÷ 33 = 2 remainder 1
3 33 ÷ 1 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 1331330
136 and 7910744
198 and 464554
106 and 1809540
178 and 10719046

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