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Least Common Multiple (LCM) of 153 and 171

The least common multiple (LCM) of 153 and 171 is 2907.

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 153 and 171?

First, calculate the GCD of 153 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 171 = 0 remainder 153
2 171 ÷ 153 = 1 remainder 18
3 153 ÷ 18 = 8 remainder 9
4 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 911729
109 and 9710573
16 and 1772832
161 and 13922379
28 and 1253500

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