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Least Common Multiple (LCM) of 68 and 53

The least common multiple (LCM) of 68 and 53 is 3604.

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 68 and 53?

First, calculate the GCD of 68 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 53 = 1 remainder 15
2 53 ÷ 15 = 3 remainder 8
3 15 ÷ 8 = 1 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 1983168
106 and 321696
95 and 12812160
112 and 374144
61 and 402440

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