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Least Common Multiple (LCM) of 153 and 85

The least common multiple (LCM) of 153 and 85 is 765.

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 85?

First, calculate the GCD of 153 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 85 = 1 remainder 68
2 85 ÷ 68 = 1 remainder 17
3 68 ÷ 17 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 8516065
110 and 12313530
161 and 16226082
110 and 636930
100 and 393900

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