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Least Common Multiple (LCM) of 59 and 147

The least common multiple (LCM) of 59 and 147 is 8673.

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 59 and 147?

First, calculate the GCD of 59 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 147 = 0 remainder 59
2 147 ÷ 59 = 2 remainder 29
3 59 ÷ 29 = 2 remainder 1
4 29 ÷ 1 = 29 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 11310283
169 and 16327547
129 and 1506450
130 and 15390
62 and 1023162

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