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Least Common Multiple (LCM) of 63 and 51

The least common multiple (LCM) of 63 and 51 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 63 and 51?

First, calculate the GCD of 63 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 51 = 1 remainder 12
2 51 ÷ 12 = 4 remainder 3
3 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 1552945
188 and 11811092
34 and 993366
98 and 442156
129 and 933999

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