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Least Common Multiple (LCM) of 153 and 63

The least common multiple (LCM) of 153 and 63 is 1071.

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 63?

First, calculate the GCD of 153 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 63 = 2 remainder 27
2 63 ÷ 27 = 2 remainder 9
3 27 ÷ 9 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 18726180
94 and 12711938
196 and 15730772
58 and 661914
170 and 5910030

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