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Least Common Multiple (LCM) of 172 and 37

The least common multiple (LCM) of 172 and 37 is 6364.

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 172 and 37?

First, calculate the GCD of 172 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 37 = 4 remainder 24
2 37 ÷ 24 = 1 remainder 13
3 24 ÷ 13 = 1 remainder 11
4 13 ÷ 11 = 1 remainder 2
5 11 ÷ 2 = 5 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 1081188
147 and 1024998
104 and 13104
84 and 1835124
116 and 13715892

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