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Least Common Multiple (LCM) of 87 and 67

The least common multiple (LCM) of 87 and 67 is 5829.

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 87 and 67?

First, calculate the GCD of 87 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 67 = 1 remainder 20
2 67 ÷ 20 = 3 remainder 7
3 20 ÷ 7 = 2 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 551595
29 and 1735017
55 and 77385
92 and 11710764
34 and 1254250

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