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Least Common Multiple (LCM) of 106 and 32

The least common multiple (LCM) of 106 and 32 is 1696.

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 106 and 32?

First, calculate the GCD of 106 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 32 = 3 remainder 10
2 32 ÷ 10 = 3 remainder 2
3 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 196588
37 and 662442
167 and 13222044
91 and 222002
41 and 903690

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