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Least Common Multiple (LCM) of 166 and 153

The least common multiple (LCM) of 166 and 153 is 25398.

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 166 and 153?

First, calculate the GCD of 166 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 166 ÷ 153 = 1 remainder 13
2 153 ÷ 13 = 11 remainder 10
3 13 ÷ 10 = 1 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 8915931
164 and 15525420
63 and 221386
61 and 593599
101 and 585858

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