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Least Common Multiple (LCM) of 160 and 154

The least common multiple (LCM) of 160 and 154 is 12320.

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 160 and 154?

First, calculate the GCD of 160 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 154 = 1 remainder 6
2 154 ÷ 6 = 25 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 182718
51 and 1889588
109 and 14115369
28 and 60420
114 and 563192

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